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Finding the Fourth Proportional to 965.67, 1,447.31 and 769.86

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Solution

The fourth proportional to 965.67, 1,447.31 and 769.86 is: 1,153.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.67 : 1,447.31 = 769.86 : x
  2. Step 2: Convert to fraction form
    965.67/1,447.31 = 769.86/x
  3. Step 3: Cross multiply
    965.67x = 1,447.31 × 769.86
  4. Step 4: Simplify right side
    965.67x = 1,114,229.40
  5. Step 5: Solve for x
    x = 1,114,229.40/965.67
  6. Step 6: Final answer
    x = 1,153.84

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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.