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Finding the Fourth Proportional to 1,103.88, 1,654.92 and 641.64

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Solution

The fourth proportional to 1,103.88, 1,654.92 and 641.64 is: 961.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.88 : 1,654.92 = 641.64 : x
  2. Step 2: Convert to fraction form
    1,103.88/1,654.92 = 641.64/x
  3. Step 3: Cross multiply
    1,103.88x = 1,654.92 × 641.64
  4. Step 4: Simplify right side
    1,103.88x = 1,061,862.87
  5. Step 5: Solve for x
    x = 1,061,862.87/1,103.88
  6. Step 6: Final answer
    x = 961.94

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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.