Question

solve for j in the proportion.\\(\frac{j}{664} = \frac{207}{249}\\)\\(j = \square\\)submit

Explanation:

Step1: Cross - multiply the proportion

Given the proportion $\frac{j}{664}=\frac{207}{249}$, cross - multiplying gives us $249j = 207\times664$.

Step2: Calculate the right - hand side

First, calculate $207\times664$. $207\times664=(200 + 7)\times664=200\times664+7\times664=132800+4648 = 137448$. So we have the equation $249j=137448$.

Step3: Solve for j

To solve for $j$, divide both sides of the equation $249j = 137448$ by 249. So $j=\frac{137448}{249}$. Simplify this fraction: $137448\div249 = 552$.

Answer:

552