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Finding the Fourth Proportional to 801.69, 1,203.07 and 281.70

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Solution

The fourth proportional to 801.69, 1,203.07 and 281.70 is: 422.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.69 : 1,203.07 = 281.70 : x
  2. Step 2: Convert to fraction form
    801.69/1,203.07 = 281.70/x
  3. Step 3: Cross multiply
    801.69x = 1,203.07 × 281.70
  4. Step 4: Simplify right side
    801.69x = 338,898.80
  5. Step 5: Solve for x
    x = 338,898.80/801.69
  6. Step 6: Final answer
    x = 422.73

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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.