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Finding the Fourth Proportional to 1,273.10, 1,756.28 and 748.85

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Solution

The fourth proportional to 1,273.10, 1,756.28 and 748.85 is: 1,033.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.10 : 1,756.28 = 748.85 : x
  2. Step 2: Convert to fraction form
    1,273.10/1,756.28 = 748.85/x
  3. Step 3: Cross multiply
    1,273.10x = 1,756.28 × 748.85
  4. Step 4: Simplify right side
    1,273.10x = 1,315,183.37
  5. Step 5: Solve for x
    x = 1,315,183.37/1,273.10
  6. Step 6: Final answer
    x = 1,033.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.