Finding the Fourth Proportional to 743, 1,113.42 and 417.92
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Solution
The fourth proportional to 743, 1,113.42 and 417.92 is: 626.27
Step by Step Solution
- Step 1: Write the proportion equation
743 : 1,113.42 = 417.92 : x - Step 2: Convert to fraction form
743/1,113.42 = 417.92/x - Step 3: Cross multiply
743x = 1,113.42 × 417.92 - Step 4: Simplify right side
743x = 465,320.49 - Step 5: Solve for x
x = 465,320.49/743 - Step 6: Final answer
x = 626.27
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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.