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Finding the Fourth Proportional to 865.72, 1,194.33 and 516.34

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Solution

The fourth proportional to 865.72, 1,194.33 and 516.34 is: 712.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.72 : 1,194.33 = 516.34 : x
  2. Step 2: Convert to fraction form
    865.72/1,194.33 = 516.34/x
  3. Step 3: Cross multiply
    865.72x = 1,194.33 × 516.34
  4. Step 4: Simplify right side
    865.72x = 616,680.35
  5. Step 5: Solve for x
    x = 616,680.35/865.72
  6. Step 6: Final answer
    x = 712.33

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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.