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Finding the Fourth Proportional to 865.41, 1,193.76 and 616.18

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Solution

The fourth proportional to 865.41, 1,193.76 and 616.18 is: 849.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.41 : 1,193.76 = 616.18 : x
  2. Step 2: Convert to fraction form
    865.41/1,193.76 = 616.18/x
  3. Step 3: Cross multiply
    865.41x = 1,193.76 × 616.18
  4. Step 4: Simplify right side
    865.41x = 735,571.04
  5. Step 5: Solve for x
    x = 735,571.04/865.41
  6. Step 6: Final answer
    x = 849.97

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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.