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Finding the Fourth Proportional to 865.76, 1,194.66 and 516.44

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Solution

The fourth proportional to 865.76, 1,194.66 and 516.44 is: 712.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.76 : 1,194.66 = 516.44 : x
  2. Step 2: Convert to fraction form
    865.76/1,194.66 = 516.44/x
  3. Step 3: Cross multiply
    865.76x = 1,194.66 × 516.44
  4. Step 4: Simplify right side
    865.76x = 616,970.21
  5. Step 5: Solve for x
    x = 616,970.21/865.76
  6. Step 6: Final answer
    x = 712.63

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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.