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Finding the Fourth Proportional to 965.56, 1,447.24 and 748.48

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Solution

The fourth proportional to 965.56, 1,447.24 and 748.48 is: 1,121.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.56 : 1,447.24 = 748.48 : x
  2. Step 2: Convert to fraction form
    965.56/1,447.24 = 748.48/x
  3. Step 3: Cross multiply
    965.56x = 1,447.24 × 748.48
  4. Step 4: Simplify right side
    965.56x = 1,083,230.20
  5. Step 5: Solve for x
    x = 1,083,230.20/965.56
  6. Step 6: Final answer
    x = 1,121.87

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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.