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Finding the Fourth Proportional to 793.46, 1,188.92 and 330.86

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Solution

The fourth proportional to 793.46, 1,188.92 and 330.86 is: 495.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.46 : 1,188.92 = 330.86 : x
  2. Step 2: Convert to fraction form
    793.46/1,188.92 = 330.86/x
  3. Step 3: Cross multiply
    793.46x = 1,188.92 × 330.86
  4. Step 4: Simplify right side
    793.46x = 393,366.07
  5. Step 5: Solve for x
    x = 393,366.07/793.46
  6. Step 6: Final answer
    x = 495.76

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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.