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Finding the Fourth Proportional to 1,104.58, 1,654.72 and 616.16

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Solution

The fourth proportional to 1,104.58, 1,654.72 and 616.16 is: 923.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.58 : 1,654.72 = 616.16 : x
  2. Step 2: Convert to fraction form
    1,104.58/1,654.72 = 616.16/x
  3. Step 3: Cross multiply
    1,104.58x = 1,654.72 × 616.16
  4. Step 4: Simplify right side
    1,104.58x = 1,019,572.28
  5. Step 5: Solve for x
    x = 1,019,572.28/1,104.58
  6. Step 6: Final answer
    x = 923.04

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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.