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Finding the Fourth Proportional to 773.28, 1,160.28 and 764.28

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Solution

The fourth proportional to 773.28, 1,160.28 and 764.28 is: 1,146.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.28 : 1,160.28 = 764.28 : x
  2. Step 2: Convert to fraction form
    773.28/1,160.28 = 764.28/x
  3. Step 3: Cross multiply
    773.28x = 1,160.28 × 764.28
  4. Step 4: Simplify right side
    773.28x = 886,778.80
  5. Step 5: Solve for x
    x = 886,778.80/773.28
  6. Step 6: Final answer
    x = 1,146.78

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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.