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Finding the Fourth Proportional to 773.67, 1,160.22 and 311.33

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Solution

The fourth proportional to 773.67, 1,160.22 and 311.33 is: 466.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.67 : 1,160.22 = 311.33 : x
  2. Step 2: Convert to fraction form
    773.67/1,160.22 = 311.33/x
  3. Step 3: Cross multiply
    773.67x = 1,160.22 × 311.33
  4. Step 4: Simplify right side
    773.67x = 361,205.49
  5. Step 5: Solve for x
    x = 361,205.49/773.67
  6. Step 6: Final answer
    x = 466.87

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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.