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Finding the Fourth Proportional to 865.12, 1,194.12 and 516.04

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Solution

The fourth proportional to 865.12, 1,194.12 and 516.04 is: 712.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.12 : 1,194.12 = 516.04 : x
  2. Step 2: Convert to fraction form
    865.12/1,194.12 = 516.04/x
  3. Step 3: Cross multiply
    865.12x = 1,194.12 × 516.04
  4. Step 4: Simplify right side
    865.12x = 616,213.68
  5. Step 5: Solve for x
    x = 616,213.68/865.12
  6. Step 6: Final answer
    x = 712.29

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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.