Finding the Fourth Proportional to 1,022.96, 1,534 and 292.38
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Solution
The fourth proportional to 1,022.96, 1,534 and 292.38 is: 438.44
Step by Step Solution
- Step 1: Write the proportion equation
1,022.96 : 1,534 = 292.38 : x - Step 2: Convert to fraction form
1,022.96/1,534 = 292.38/x - Step 3: Cross multiply
1,022.96x = 1,534 × 292.38 - Step 4: Simplify right side
1,022.96x = 448,510.92 - Step 5: Solve for x
x = 448,510.92/1,022.96 - Step 6: Final answer
x = 438.44
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.