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Finding the Fourth Proportional to 1,297.24, 1,944.32 and 748.29

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Solution

The fourth proportional to 1,297.24, 1,944.32 and 748.29 is: 1,121.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.24 : 1,944.32 = 748.29 : x
  2. Step 2: Convert to fraction form
    1,297.24/1,944.32 = 748.29/x
  3. Step 3: Cross multiply
    1,297.24x = 1,944.32 × 748.29
  4. Step 4: Simplify right side
    1,297.24x = 1,454,906.99
  5. Step 5: Solve for x
    x = 1,454,906.99/1,297.24
  6. Step 6: Final answer
    x = 1,121.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.