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Finding the Fourth Proportional to 1,365.89, 2,049.78 and 717.08

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Solution

The fourth proportional to 1,365.89, 2,049.78 and 717.08 is: 1,076.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.89 : 2,049.78 = 717.08 : x
  2. Step 2: Convert to fraction form
    1,365.89/2,049.78 = 717.08/x
  3. Step 3: Cross multiply
    1,365.89x = 2,049.78 × 717.08
  4. Step 4: Simplify right side
    1,365.89x = 1,469,856.24
  5. Step 5: Solve for x
    x = 1,469,856.24/1,365.89
  6. Step 6: Final answer
    x = 1,076.12

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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.