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Finding the Fourth Proportional to 726.90, 1,002.69 and 516.75

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Solution

The fourth proportional to 726.90, 1,002.69 and 516.75 is: 712.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.90 : 1,002.69 = 516.75 : x
  2. Step 2: Convert to fraction form
    726.90/1,002.69 = 516.75/x
  3. Step 3: Cross multiply
    726.90x = 1,002.69 × 516.75
  4. Step 4: Simplify right side
    726.90x = 518,140.06
  5. Step 5: Solve for x
    x = 518,140.06/726.90
  6. Step 6: Final answer
    x = 712.81

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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.