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Finding the Fourth Proportional to 799.20, 1,195.05 and 591.75

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Solution

The fourth proportional to 799.20, 1,195.05 and 591.75 is: 884.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.20 : 1,195.05 = 591.75 : x
  2. Step 2: Convert to fraction form
    799.20/1,195.05 = 591.75/x
  3. Step 3: Cross multiply
    799.20x = 1,195.05 × 591.75
  4. Step 4: Simplify right side
    799.20x = 707,170.84
  5. Step 5: Solve for x
    x = 707,170.84/799.20
  6. Step 6: Final answer
    x = 884.85

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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.