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Finding the Fourth Proportional to 801.27, 1,202.04 and 253.62

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Solution

The fourth proportional to 801.27, 1,202.04 and 253.62 is: 380.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.27 : 1,202.04 = 253.62 : x
  2. Step 2: Convert to fraction form
    801.27/1,202.04 = 253.62/x
  3. Step 3: Cross multiply
    801.27x = 1,202.04 × 253.62
  4. Step 4: Simplify right side
    801.27x = 304,861.38
  5. Step 5: Solve for x
    x = 304,861.38/801.27
  6. Step 6: Final answer
    x = 380.47

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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.