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Finding the Fourth Proportional to 749.25, 1,034.17 and 516.38

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Solution

The fourth proportional to 749.25, 1,034.17 and 516.38 is: 712.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.25 : 1,034.17 = 516.38 : x
  2. Step 2: Convert to fraction form
    749.25/1,034.17 = 516.38/x
  3. Step 3: Cross multiply
    749.25x = 1,034.17 × 516.38
  4. Step 4: Simplify right side
    749.25x = 534,018.24
  5. Step 5: Solve for x
    x = 534,018.24/749.25
  6. Step 6: Final answer
    x = 712.74

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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.