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Finding the Fourth Proportional to 793.12, 1,189.16 and 382.04

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Solution

The fourth proportional to 793.12, 1,189.16 and 382.04 is: 572.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.12 : 1,189.16 = 382.04 : x
  2. Step 2: Convert to fraction form
    793.12/1,189.16 = 382.04/x
  3. Step 3: Cross multiply
    793.12x = 1,189.16 × 382.04
  4. Step 4: Simplify right side
    793.12x = 454,306.69
  5. Step 5: Solve for x
    x = 454,306.69/793.12
  6. Step 6: Final answer
    x = 572.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.