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Finding the Fourth Proportional to 865.26, 1,194.21 and 516.14

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Solution

The fourth proportional to 865.26, 1,194.21 and 516.14 is: 712.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.26 : 1,194.21 = 516.14 : x
  2. Step 2: Convert to fraction form
    865.26/1,194.21 = 516.14/x
  3. Step 3: Cross multiply
    865.26x = 1,194.21 × 516.14
  4. Step 4: Simplify right side
    865.26x = 616,379.55
  5. Step 5: Solve for x
    x = 616,379.55/865.26
  6. Step 6: Final answer
    x = 712.36

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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.