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Finding the Fourth Proportional to 747.47, 1,119.18 and 516.08

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Solution

The fourth proportional to 747.47, 1,119.18 and 516.08 is: 772.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.47 : 1,119.18 = 516.08 : x
  2. Step 2: Convert to fraction form
    747.47/1,119.18 = 516.08/x
  3. Step 3: Cross multiply
    747.47x = 1,119.18 × 516.08
  4. Step 4: Simplify right side
    747.47x = 577,591.15
  5. Step 5: Solve for x
    x = 577,591.15/747.47
  6. Step 6: Final answer
    x = 772.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.