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Finding the Fourth Proportional to 726.57, 1,001.84 and 477.77

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Solution

The fourth proportional to 726.57, 1,001.84 and 477.77 is: 658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.57 : 1,001.84 = 477.77 : x
  2. Step 2: Convert to fraction form
    726.57/1,001.84 = 477.77/x
  3. Step 3: Cross multiply
    726.57x = 1,001.84 × 477.77
  4. Step 4: Simplify right side
    726.57x = 478,641.70
  5. Step 5: Solve for x
    x = 478,641.70/726.57
  6. Step 6: Final answer
    x = 658.77

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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.