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Finding the Fourth Proportional to 801.14, 1,194.68 and 793.84

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Solution

The fourth proportional to 801.14, 1,194.68 and 793.84 is: 1,183.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.14 : 1,194.68 = 793.84 : x
  2. Step 2: Convert to fraction form
    801.14/1,194.68 = 793.84/x
  3. Step 3: Cross multiply
    801.14x = 1,194.68 × 793.84
  4. Step 4: Simplify right side
    801.14x = 948,384.77
  5. Step 5: Solve for x
    x = 948,384.77/801.14
  6. Step 6: Final answer
    x = 1,183.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.