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Finding the Fourth Proportional to 726.38, 1,002.83 and 478.13

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Solution

The fourth proportional to 726.38, 1,002.83 and 478.13 is: 660.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.38 : 1,002.83 = 478.13 : x
  2. Step 2: Convert to fraction form
    726.38/1,002.83 = 478.13/x
  3. Step 3: Cross multiply
    726.38x = 1,002.83 × 478.13
  4. Step 4: Simplify right side
    726.38x = 479,475.70
  5. Step 5: Solve for x
    x = 479,475.70/726.38
  6. Step 6: Final answer
    x = 660.09

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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.