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Finding the Fourth Proportional to 737.60, 1,107.92 and 713

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Solution

The fourth proportional to 737.60, 1,107.92 and 713 is: 1,070.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.60 : 1,107.92 = 713 : x
  2. Step 2: Convert to fraction form
    737.60/1,107.92 = 713/x
  3. Step 3: Cross multiply
    737.60x = 1,107.92 × 713
  4. Step 4: Simplify right side
    737.60x = 789,946.96
  5. Step 5: Solve for x
    x = 789,946.96/737.60
  6. Step 6: Final answer
    x = 1,070.97

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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.