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Finding the Fourth Proportional to 801.92, 1,202.38 and 411.80

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Solution

The fourth proportional to 801.92, 1,202.38 and 411.80 is: 617.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.92 : 1,202.38 = 411.80 : x
  2. Step 2: Convert to fraction form
    801.92/1,202.38 = 411.80/x
  3. Step 3: Cross multiply
    801.92x = 1,202.38 × 411.80
  4. Step 4: Simplify right side
    801.92x = 495,140.08
  5. Step 5: Solve for x
    x = 495,140.08/801.92
  6. Step 6: Final answer
    x = 617.44

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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.