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Finding the Fourth Proportional to 801.16, 1,202.04 and 281.20

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Solution

The fourth proportional to 801.16, 1,202.04 and 281.20 is: 421.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.16 : 1,202.04 = 281.20 : x
  2. Step 2: Convert to fraction form
    801.16/1,202.04 = 281.20/x
  3. Step 3: Cross multiply
    801.16x = 1,202.04 × 281.20
  4. Step 4: Simplify right side
    801.16x = 338,013.65
  5. Step 5: Solve for x
    x = 338,013.65/801.16
  6. Step 6: Final answer
    x = 421.91

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