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Finding the Fourth Proportional to 1,103.40, 1,654.92 and 372.90

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Solution

The fourth proportional to 1,103.40, 1,654.92 and 372.90 is: 559.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.40 : 1,654.92 = 372.90 : x
  2. Step 2: Convert to fraction form
    1,103.40/1,654.92 = 372.90/x
  3. Step 3: Cross multiply
    1,103.40x = 1,654.92 × 372.90
  4. Step 4: Simplify right side
    1,103.40x = 617,119.67
  5. Step 5: Solve for x
    x = 617,119.67/1,103.40
  6. Step 6: Final answer
    x = 559.29

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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.