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Finding the Fourth Proportional to 843.92, 1,264.35 and 793.09

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Solution

The fourth proportional to 843.92, 1,264.35 and 793.09 is: 1,188.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.92 : 1,264.35 = 793.09 : x
  2. Step 2: Convert to fraction form
    843.92/1,264.35 = 793.09/x
  3. Step 3: Cross multiply
    843.92x = 1,264.35 × 793.09
  4. Step 4: Simplify right side
    843.92x = 1,002,737.02
  5. Step 5: Solve for x
    x = 1,002,737.02/843.92
  6. Step 6: Final answer
    x = 1,188.20

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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.