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Finding the Fourth Proportional to 865.50, 1,193.91 and 566.33

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Solution

The fourth proportional to 865.50, 1,193.91 and 566.33 is: 781.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.50 : 1,193.91 = 566.33 : x
  2. Step 2: Convert to fraction form
    865.50/1,193.91 = 566.33/x
  3. Step 3: Cross multiply
    865.50x = 1,193.91 × 566.33
  4. Step 4: Simplify right side
    865.50x = 676,147.05
  5. Step 5: Solve for x
    x = 676,147.05/865.50
  6. Step 6: Final answer
    x = 781.22

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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.