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Finding the Fourth Proportional to 1,104.15, 1,659.60 and 741.27

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Solution

The fourth proportional to 1,104.15, 1,659.60 and 741.27 is: 1,114.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.15 : 1,659.60 = 741.27 : x
  2. Step 2: Convert to fraction form
    1,104.15/1,659.60 = 741.27/x
  3. Step 3: Cross multiply
    1,104.15x = 1,659.60 × 741.27
  4. Step 4: Simplify right side
    1,104.15x = 1,230,211.69
  5. Step 5: Solve for x
    x = 1,230,211.69/1,104.15
  6. Step 6: Final answer
    x = 1,114.17

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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.