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Finding the Fourth Proportional to 865.90, 1,194.94 and 516.60

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Solution

The fourth proportional to 865.90, 1,194.94 and 516.60 is: 712.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.90 : 1,194.94 = 516.60 : x
  2. Step 2: Convert to fraction form
    865.90/1,194.94 = 516.60/x
  3. Step 3: Cross multiply
    865.90x = 1,194.94 × 516.60
  4. Step 4: Simplify right side
    865.90x = 617,306.00
  5. Step 5: Solve for x
    x = 617,306.00/865.90
  6. Step 6: Final answer
    x = 712.91

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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.