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Finding the Fourth Proportional to 865.60, 1,194.06 and 516.04

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Solution

The fourth proportional to 865.60, 1,194.06 and 516.04 is: 711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.60 : 1,194.06 = 516.04 : x
  2. Step 2: Convert to fraction form
    865.60/1,194.06 = 516.04/x
  3. Step 3: Cross multiply
    865.60x = 1,194.06 × 516.04
  4. Step 4: Simplify right side
    865.60x = 616,182.72
  5. Step 5: Solve for x
    x = 616,182.72/865.60
  6. Step 6: Final answer
    x = 711.86

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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.