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Finding the Fourth Proportional to 1,273.26, 1,757.22 and 749.72

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Solution

The fourth proportional to 1,273.26, 1,757.22 and 749.72 is: 1,034.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.26 : 1,757.22 = 749.72 : x
  2. Step 2: Convert to fraction form
    1,273.26/1,757.22 = 749.72/x
  3. Step 3: Cross multiply
    1,273.26x = 1,757.22 × 749.72
  4. Step 4: Simplify right side
    1,273.26x = 1,317,422.98
  5. Step 5: Solve for x
    x = 1,317,422.98/1,273.26
  6. Step 6: Final answer
    x = 1,034.68

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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.