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Finding the Fourth Proportional to 801.74, 1,202.79 and 580.43

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Solution

The fourth proportional to 801.74, 1,202.79 and 580.43 is: 870.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.74 : 1,202.79 = 580.43 : x
  2. Step 2: Convert to fraction form
    801.74/1,202.79 = 580.43/x
  3. Step 3: Cross multiply
    801.74x = 1,202.79 × 580.43
  4. Step 4: Simplify right side
    801.74x = 698,135.40
  5. Step 5: Solve for x
    x = 698,135.40/801.74
  6. Step 6: Final answer
    x = 870.78

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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.