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Finding the Fourth Proportional to 801.39, 1,201.86 and 314.33

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Solution

The fourth proportional to 801.39, 1,201.86 and 314.33 is: 471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.39 : 1,201.86 = 314.33 : x
  2. Step 2: Convert to fraction form
    801.39/1,201.86 = 314.33/x
  3. Step 3: Cross multiply
    801.39x = 1,201.86 × 314.33
  4. Step 4: Simplify right side
    801.39x = 377,780.65
  5. Step 5: Solve for x
    x = 377,780.65/801.39
  6. Step 6: Final answer
    x = 471.41

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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.