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Finding the Fourth Proportional to 801.82, 1,202.76 and 254.08

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Solution

The fourth proportional to 801.82, 1,202.76 and 254.08 is: 381.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.82 : 1,202.76 = 254.08 : x
  2. Step 2: Convert to fraction form
    801.82/1,202.76 = 254.08/x
  3. Step 3: Cross multiply
    801.82x = 1,202.76 × 254.08
  4. Step 4: Simplify right side
    801.82x = 305,594.25
  5. Step 5: Solve for x
    x = 305,594.25/801.82
  6. Step 6: Final answer
    x = 381.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.