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Finding the Fourth Proportional to 793.97, 1,190.94 and 355.12

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Solution

The fourth proportional to 793.97, 1,190.94 and 355.12 is: 532.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.97 : 1,190.94 = 355.12 : x
  2. Step 2: Convert to fraction form
    793.97/1,190.94 = 355.12/x
  3. Step 3: Cross multiply
    793.97x = 1,190.94 × 355.12
  4. Step 4: Simplify right side
    793.97x = 422,922.30
  5. Step 5: Solve for x
    x = 422,922.30/793.97
  6. Step 6: Final answer
    x = 532.67

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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.