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Finding the Fourth Proportional to 793.12, 1,191.84 and 547.96

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Solution

The fourth proportional to 793.12, 1,191.84 and 547.96 is: 823.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.12 : 1,191.84 = 547.96 : x
  2. Step 2: Convert to fraction form
    793.12/1,191.84 = 547.96/x
  3. Step 3: Cross multiply
    793.12x = 1,191.84 × 547.96
  4. Step 4: Simplify right side
    793.12x = 653,080.65
  5. Step 5: Solve for x
    x = 653,080.65/793.12
  6. Step 6: Final answer
    x = 823.43

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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.