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Finding the Fourth Proportional to 862.92, 1,293.17 and 618.91

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Solution

The fourth proportional to 862.92, 1,293.17 and 618.91 is: 927.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.92 : 1,293.17 = 618.91 : x
  2. Step 2: Convert to fraction form
    862.92/1,293.17 = 618.91/x
  3. Step 3: Cross multiply
    862.92x = 1,293.17 × 618.91
  4. Step 4: Simplify right side
    862.92x = 800,349.52
  5. Step 5: Solve for x
    x = 800,349.52/862.92
  6. Step 6: Final answer
    x = 927.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.