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Finding the Fourth Proportional to 737.25, 1,105.87 and 189.43

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Solution

The fourth proportional to 737.25, 1,105.87 and 189.43 is: 284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.25 : 1,105.87 = 189.43 : x
  2. Step 2: Convert to fraction form
    737.25/1,105.87 = 189.43/x
  3. Step 3: Cross multiply
    737.25x = 1,105.87 × 189.43
  4. Step 4: Simplify right side
    737.25x = 209,481.72
  5. Step 5: Solve for x
    x = 209,481.72/737.25
  6. Step 6: Final answer
    x = 284.14

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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.