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Finding the Fourth Proportional to 726.24, 1,002.08 and 516.80

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Solution

The fourth proportional to 726.24, 1,002.08 and 516.80 is: 713.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.24 : 1,002.08 = 516.80 : x
  2. Step 2: Convert to fraction form
    726.24/1,002.08 = 516.80/x
  3. Step 3: Cross multiply
    726.24x = 1,002.08 × 516.80
  4. Step 4: Simplify right side
    726.24x = 517,874.94
  5. Step 5: Solve for x
    x = 517,874.94/726.24
  6. Step 6: Final answer
    x = 713.09

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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.