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Finding the Fourth Proportional to 726.82, 1,001.95 and 516.31

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Solution

The fourth proportional to 726.82, 1,001.95 and 516.31 is: 711.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.82 : 1,001.95 = 516.31 : x
  2. Step 2: Convert to fraction form
    726.82/1,001.95 = 516.31/x
  3. Step 3: Cross multiply
    726.82x = 1,001.95 × 516.31
  4. Step 4: Simplify right side
    726.82x = 517,316.80
  5. Step 5: Solve for x
    x = 517,316.80/726.82
  6. Step 6: Final answer
    x = 711.75

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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.