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Finding the Fourth Proportional to 801.19, 1,201.32 and 313.97

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Solution

The fourth proportional to 801.19, 1,201.32 and 313.97 is: 470.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.19 : 1,201.32 = 313.97 : x
  2. Step 2: Convert to fraction form
    801.19/1,201.32 = 313.97/x
  3. Step 3: Cross multiply
    801.19x = 1,201.32 × 313.97
  4. Step 4: Simplify right side
    801.19x = 377,181.44
  5. Step 5: Solve for x
    x = 377,181.44/801.19
  6. Step 6: Final answer
    x = 470.78

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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.