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Finding the Fourth Proportional to 801.88, 1,202.78 and 288.76

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Solution

The fourth proportional to 801.88, 1,202.78 and 288.76 is: 433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.88 : 1,202.78 = 288.76 : x
  2. Step 2: Convert to fraction form
    801.88/1,202.78 = 288.76/x
  3. Step 3: Cross multiply
    801.88x = 1,202.78 × 288.76
  4. Step 4: Simplify right side
    801.88x = 347,314.75
  5. Step 5: Solve for x
    x = 347,314.75/801.88
  6. Step 6: Final answer
    x = 433.13

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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.