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Finding the Fourth Proportional to 801.89, 1,199.75 and 799.84

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Solution

The fourth proportional to 801.89, 1,199.75 and 799.84 is: 1,196.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.89 : 1,199.75 = 799.84 : x
  2. Step 2: Convert to fraction form
    801.89/1,199.75 = 799.84/x
  3. Step 3: Cross multiply
    801.89x = 1,199.75 × 799.84
  4. Step 4: Simplify right side
    801.89x = 959,605.54
  5. Step 5: Solve for x
    x = 959,605.54/801.89
  6. Step 6: Final answer
    x = 1,196.68

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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.