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Finding the Fourth Proportional to 1,227.34, 1,693.83 and 755.54

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Solution

The fourth proportional to 1,227.34, 1,693.83 and 755.54 is: 1,042.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.34 : 1,693.83 = 755.54 : x
  2. Step 2: Convert to fraction form
    1,227.34/1,693.83 = 755.54/x
  3. Step 3: Cross multiply
    1,227.34x = 1,693.83 × 755.54
  4. Step 4: Simplify right side
    1,227.34x = 1,279,757.03
  5. Step 5: Solve for x
    x = 1,279,757.03/1,227.34
  6. Step 6: Final answer
    x = 1,042.71

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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.