Question
Find the missing term in the proportion: \( \frac{x}{35}=\frac{656}{560} \) \( x=\square \)
Ask by Gibbs Rodriquez. in the United States
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( x = 41 \)
Solution
To find the missing term in the proportion, we can use the concept of proportions.
Given proportion: \( \frac{x}{35}=\frac{656}{560} \)
To find the missing term \( x \), we can cross multiply the proportions:
\( x \times 560 = 35 \times 656 \)
Now, we can solve for \( x \) by dividing both sides of the equation by 560:
\( x = \frac{35 \times 656}{560} \)
Let's calculate the value of \( x \) using the given numbers.
Calculate the value by following steps:
- step0: Calculate:
\(\frac{35\times 656}{560}\)
- step1: Multiply the numbers:
\(\frac{22960}{560}\)
- step2: Reduce the fraction:
\(41\)
The missing term in the proportion is \( x = 41 \).
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Simplify this solution The Deep Dive
To solve for \( x \) in the proportion \( \frac{x}{35}=\frac{656}{560} \), you can cross-multiply. This means you multiply \( x \) by \( 560 \) and \( 35 \) by \( 656 \) to get: \[ x \cdot 560 = 35 \cdot 656 \] Now, calculate \( 35 \cdot 656 \): \[ 35 \cdot 656 = 22960 \] So now your equation looks like this: \[ 560x = 22960 \] Now, divide both sides by \( 560 \): \[ x = \frac{22960}{560} \] Calculating the division gives: \[ x = 41 \] So, the missing term is \( x = 41 \).
