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Finding the Fourth Proportional to 801.46, 1,201.74 and 281.31

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Solution

The fourth proportional to 801.46, 1,201.74 and 281.31 is: 421.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.46 : 1,201.74 = 281.31 : x
  2. Step 2: Convert to fraction form
    801.46/1,201.74 = 281.31/x
  3. Step 3: Cross multiply
    801.46x = 1,201.74 × 281.31
  4. Step 4: Simplify right side
    801.46x = 338,061.48
  5. Step 5: Solve for x
    x = 338,061.48/801.46
  6. Step 6: Final answer
    x = 421.81

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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.