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Finding the Fourth Proportional to 1,273.57, 1,757.49 and 749.63

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Solution

The fourth proportional to 1,273.57, 1,757.49 and 749.63 is: 1,034.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.57 : 1,757.49 = 749.63 : x
  2. Step 2: Convert to fraction form
    1,273.57/1,757.49 = 749.63/x
  3. Step 3: Cross multiply
    1,273.57x = 1,757.49 × 749.63
  4. Step 4: Simplify right side
    1,273.57x = 1,317,467.23
  5. Step 5: Solve for x
    x = 1,317,467.23/1,273.57
  6. Step 6: Final answer
    x = 1,034.47

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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.