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Finding the Fourth Proportional to 1,276.38, 1,761.96 and 752.43

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Solution

The fourth proportional to 1,276.38, 1,761.96 and 752.43 is: 1,038.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.38 : 1,761.96 = 752.43 : x
  2. Step 2: Convert to fraction form
    1,276.38/1,761.96 = 752.43/x
  3. Step 3: Cross multiply
    1,276.38x = 1,761.96 × 752.43
  4. Step 4: Simplify right side
    1,276.38x = 1,325,751.56
  5. Step 5: Solve for x
    x = 1,325,751.56/1,276.38
  6. Step 6: Final answer
    x = 1,038.68

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Why These Related Problems?

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