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Finding the Fourth Proportional to 865.69, 1,194.68 and 516.58

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Solution

The fourth proportional to 865.69, 1,194.68 and 516.58 is: 712.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.69 : 1,194.68 = 516.58 : x
  2. Step 2: Convert to fraction form
    865.69/1,194.68 = 516.58/x
  3. Step 3: Cross multiply
    865.69x = 1,194.68 × 516.58
  4. Step 4: Simplify right side
    865.69x = 617,146.10
  5. Step 5: Solve for x
    x = 617,146.10/865.69
  6. Step 6: Final answer
    x = 712.90

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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.