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Finding the Fourth Proportional to 865.72, 1,194.06 and 516.28

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Solution

The fourth proportional to 865.72, 1,194.06 and 516.28 is: 712.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.72 : 1,194.06 = 516.28 : x
  2. Step 2: Convert to fraction form
    865.72/1,194.06 = 516.28/x
  3. Step 3: Cross multiply
    865.72x = 1,194.06 × 516.28
  4. Step 4: Simplify right side
    865.72x = 616,469.30
  5. Step 5: Solve for x
    x = 616,469.30/865.72
  6. Step 6: Final answer
    x = 712.09

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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.