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Finding the Fourth Proportional to 799.40, 1,198.13 and 382.46

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Solution

The fourth proportional to 799.40, 1,198.13 and 382.46 is: 573.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.40 : 1,198.13 = 382.46 : x
  2. Step 2: Convert to fraction form
    799.40/1,198.13 = 382.46/x
  3. Step 3: Cross multiply
    799.40x = 1,198.13 × 382.46
  4. Step 4: Simplify right side
    799.40x = 458,228.90
  5. Step 5: Solve for x
    x = 458,228.90/799.40
  6. Step 6: Final answer
    x = 573.21

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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.