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Finding the Fourth Proportional to 865.85, 1,194.87 and 516.50

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Solution

The fourth proportional to 865.85, 1,194.87 and 516.50 is: 712.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.85 : 1,194.87 = 516.50 : x
  2. Step 2: Convert to fraction form
    865.85/1,194.87 = 516.50/x
  3. Step 3: Cross multiply
    865.85x = 1,194.87 × 516.50
  4. Step 4: Simplify right side
    865.85x = 617,150.36
  5. Step 5: Solve for x
    x = 617,150.36/865.85
  6. Step 6: Final answer
    x = 712.77

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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.