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Finding the Fourth Proportional to 782, 1,079.12 and 516.56

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Solution

The fourth proportional to 782, 1,079.12 and 516.56 is: 712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    782 : 1,079.12 = 516.56 : x
  2. Step 2: Convert to fraction form
    782/1,079.12 = 516.56/x
  3. Step 3: Cross multiply
    782x = 1,079.12 × 516.56
  4. Step 4: Simplify right side
    782x = 557,430.23
  5. Step 5: Solve for x
    x = 557,430.23/782
  6. Step 6: Final answer
    x = 712.83

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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.