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Finding the Fourth Proportional to 801, 1,201.67 and 253.05

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Solution

The fourth proportional to 801, 1,201.67 and 253.05 is: 379.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    801 : 1,201.67 = 253.05 : x
  2. Step 2: Convert to fraction form
    801/1,201.67 = 253.05/x
  3. Step 3: Cross multiply
    801x = 1,201.67 × 253.05
  4. Step 4: Simplify right side
    801x = 304,081.33
  5. Step 5: Solve for x
    x = 304,081.33/801
  6. Step 6: Final answer
    x = 379.63

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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.