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Finding the Fourth Proportional to 1,103.27, 1,654.89 and 281.60

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Solution

The fourth proportional to 1,103.27, 1,654.89 and 281.60 is: 422.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.27 : 1,654.89 = 281.60 : x
  2. Step 2: Convert to fraction form
    1,103.27/1,654.89 = 281.60/x
  3. Step 3: Cross multiply
    1,103.27x = 1,654.89 × 281.60
  4. Step 4: Simplify right side
    1,103.27x = 466,008.75
  5. Step 5: Solve for x
    x = 466,008.75/1,103.27
  6. Step 6: Final answer
    x = 422.39

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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.