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Finding the Fourth Proportional to 801.97, 1,202.78 and 254.20

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Solution

The fourth proportional to 801.97, 1,202.78 and 254.20 is: 381.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.97 : 1,202.78 = 254.20 : x
  2. Step 2: Convert to fraction form
    801.97/1,202.78 = 254.20/x
  3. Step 3: Cross multiply
    801.97x = 1,202.78 × 254.20
  4. Step 4: Simplify right side
    801.97x = 305,739.39
  5. Step 5: Solve for x
    x = 305,739.39/801.97
  6. Step 6: Final answer
    x = 381.24

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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.