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Finding the Fourth Proportional to 1,297.39, 1,941.72 and 748.75

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Solution

The fourth proportional to 1,297.39, 1,941.72 and 748.75 is: 1,120.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.39 : 1,941.72 = 748.75 : x
  2. Step 2: Convert to fraction form
    1,297.39/1,941.72 = 748.75/x
  3. Step 3: Cross multiply
    1,297.39x = 1,941.72 × 748.75
  4. Step 4: Simplify right side
    1,297.39x = 1,453,862.85
  5. Step 5: Solve for x
    x = 1,453,862.85/1,297.39
  6. Step 6: Final answer
    x = 1,120.61

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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.