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Finding the Fourth Proportional to 1,103.60, 1,654.11 and 615.66

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Solution

The fourth proportional to 1,103.60, 1,654.11 and 615.66 is: 922.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.60 : 1,654.11 = 615.66 : x
  2. Step 2: Convert to fraction form
    1,103.60/1,654.11 = 615.66/x
  3. Step 3: Cross multiply
    1,103.60x = 1,654.11 × 615.66
  4. Step 4: Simplify right side
    1,103.60x = 1,018,369.36
  5. Step 5: Solve for x
    x = 1,018,369.36/1,103.60
  6. Step 6: Final answer
    x = 922.77

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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.