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Finding the Fourth Proportional to 749.52, 1,034.10 and 516.78

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Solution

The fourth proportional to 749.52, 1,034.10 and 516.78 is: 712.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.52 : 1,034.10 = 516.78 : x
  2. Step 2: Convert to fraction form
    749.52/1,034.10 = 516.78/x
  3. Step 3: Cross multiply
    749.52x = 1,034.10 × 516.78
  4. Step 4: Simplify right side
    749.52x = 534,402.20
  5. Step 5: Solve for x
    x = 534,402.20/749.52
  6. Step 6: Final answer
    x = 712.99

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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.