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Finding the Fourth Proportional to 725.95, 1,002.15 and 516.56

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Solution

The fourth proportional to 725.95, 1,002.15 and 516.56 is: 713.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.95 : 1,002.15 = 516.56 : x
  2. Step 2: Convert to fraction form
    725.95/1,002.15 = 516.56/x
  3. Step 3: Cross multiply
    725.95x = 1,002.15 × 516.56
  4. Step 4: Simplify right side
    725.95x = 517,668.02
  5. Step 5: Solve for x
    x = 517,668.02/725.95
  6. Step 6: Final answer
    x = 713.10

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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.