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Finding the Fourth Proportional to 793.76, 1,191.33 and 331.85

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Solution

The fourth proportional to 793.76, 1,191.33 and 331.85 is: 498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.76 : 1,191.33 = 331.85 : x
  2. Step 2: Convert to fraction form
    793.76/1,191.33 = 331.85/x
  3. Step 3: Cross multiply
    793.76x = 1,191.33 × 331.85
  4. Step 4: Simplify right side
    793.76x = 395,336.90
  5. Step 5: Solve for x
    x = 395,336.90/793.76
  6. Step 6: Final answer
    x = 498.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.