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Finding the Fourth Proportional to 799.21, 1,198.88 and 336.90

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Solution

The fourth proportional to 799.21, 1,198.88 and 336.90 is: 505.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.21 : 1,198.88 = 336.90 : x
  2. Step 2: Convert to fraction form
    799.21/1,198.88 = 336.90/x
  3. Step 3: Cross multiply
    799.21x = 1,198.88 × 336.90
  4. Step 4: Simplify right side
    799.21x = 403,902.67
  5. Step 5: Solve for x
    x = 403,902.67/799.21
  6. Step 6: Final answer
    x = 505.38

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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.