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Finding the Fourth Proportional to 801.16, 1,201.82 and 281.14

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Solution

The fourth proportional to 801.16, 1,201.82 and 281.14 is: 421.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.16 : 1,201.82 = 281.14 : x
  2. Step 2: Convert to fraction form
    801.16/1,201.82 = 281.14/x
  3. Step 3: Cross multiply
    801.16x = 1,201.82 × 281.14
  4. Step 4: Simplify right side
    801.16x = 337,875.26
  5. Step 5: Solve for x
    x = 337,875.26/801.16
  6. Step 6: Final answer
    x = 421.73

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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.