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Finding the Fourth Proportional to 793.22, 1,190.30 and 354.33

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Solution

The fourth proportional to 793.22, 1,190.30 and 354.33 is: 531.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.22 : 1,190.30 = 354.33 : x
  2. Step 2: Convert to fraction form
    793.22/1,190.30 = 354.33/x
  3. Step 3: Cross multiply
    793.22x = 1,190.30 × 354.33
  4. Step 4: Simplify right side
    793.22x = 421,757.23
  5. Step 5: Solve for x
    x = 421,757.23/793.22
  6. Step 6: Final answer
    x = 531.71

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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.