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Finding the Fourth Proportional to 1,104.14, 1,654.88 and 487.15

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Solution

The fourth proportional to 1,104.14, 1,654.88 and 487.15 is: 730.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.14 : 1,654.88 = 487.15 : x
  2. Step 2: Convert to fraction form
    1,104.14/1,654.88 = 487.15/x
  3. Step 3: Cross multiply
    1,104.14x = 1,654.88 × 487.15
  4. Step 4: Simplify right side
    1,104.14x = 806,170.96
  5. Step 5: Solve for x
    x = 806,170.96/1,104.14
  6. Step 6: Final answer
    x = 730.13

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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.