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Finding the Fourth Proportional to 857.94, 1,286.22 and 789.59

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Solution

The fourth proportional to 857.94, 1,286.22 and 789.59 is: 1,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.94 : 1,286.22 = 789.59 : x
  2. Step 2: Convert to fraction form
    857.94/1,286.22 = 789.59/x
  3. Step 3: Cross multiply
    857.94x = 1,286.22 × 789.59
  4. Step 4: Simplify right side
    857.94x = 1,015,586.45
  5. Step 5: Solve for x
    x = 1,015,586.45/857.94
  6. Step 6: Final answer
    x = 1,183.75

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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.