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Finding the Fourth Proportional to 726.31, 1,002.13 and 411.58

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Solution

The fourth proportional to 726.31, 1,002.13 and 411.58 is: 567.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.31 : 1,002.13 = 411.58 : x
  2. Step 2: Convert to fraction form
    726.31/1,002.13 = 411.58/x
  3. Step 3: Cross multiply
    726.31x = 1,002.13 × 411.58
  4. Step 4: Simplify right side
    726.31x = 412,456.67
  5. Step 5: Solve for x
    x = 412,456.67/726.31
  6. Step 6: Final answer
    x = 567.88

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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.