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Finding the Fourth Proportional to 801.89, 1,202.84 and 224.77

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Solution

The fourth proportional to 801.89, 1,202.84 and 224.77 is: 337.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.89 : 1,202.84 = 224.77 : x
  2. Step 2: Convert to fraction form
    801.89/1,202.84 = 224.77/x
  3. Step 3: Cross multiply
    801.89x = 1,202.84 × 224.77
  4. Step 4: Simplify right side
    801.89x = 270,358.22
  5. Step 5: Solve for x
    x = 270,358.22/801.89
  6. Step 6: Final answer
    x = 337.15

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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.