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Finding the Fourth Proportional to 729.26, 1,006.20 and 414.48

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Solution

The fourth proportional to 729.26, 1,006.20 and 414.48 is: 571.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.26 : 1,006.20 = 414.48 : x
  2. Step 2: Convert to fraction form
    729.26/1,006.20 = 414.48/x
  3. Step 3: Cross multiply
    729.26x = 1,006.20 × 414.48
  4. Step 4: Simplify right side
    729.26x = 417,049.78
  5. Step 5: Solve for x
    x = 417,049.78/729.26
  6. Step 6: Final answer
    x = 571.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.