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Finding the Fourth Proportional to 748.38, 1,120.83 and 722.43

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Solution

The fourth proportional to 748.38, 1,120.83 and 722.43 is: 1,081.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.38 : 1,120.83 = 722.43 : x
  2. Step 2: Convert to fraction form
    748.38/1,120.83 = 722.43/x
  3. Step 3: Cross multiply
    748.38x = 1,120.83 × 722.43
  4. Step 4: Simplify right side
    748.38x = 809,721.22
  5. Step 5: Solve for x
    x = 809,721.22/748.38
  6. Step 6: Final answer
    x = 1,081.97

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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.