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Finding the Fourth Proportional to 862.20, 1,293.66 and 423.78

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Solution

The fourth proportional to 862.20, 1,293.66 and 423.78 is: 635.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.20 : 1,293.66 = 423.78 : x
  2. Step 2: Convert to fraction form
    862.20/1,293.66 = 423.78/x
  3. Step 3: Cross multiply
    862.20x = 1,293.66 × 423.78
  4. Step 4: Simplify right side
    862.20x = 548,227.23
  5. Step 5: Solve for x
    x = 548,227.23/862.20
  6. Step 6: Final answer
    x = 635.85

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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.