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Finding the Fourth Proportional to 922.37, 1,382.17 and 789.81

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Solution

The fourth proportional to 922.37, 1,382.17 and 789.81 is: 1,183.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.37 : 1,382.17 = 789.81 : x
  2. Step 2: Convert to fraction form
    922.37/1,382.17 = 789.81/x
  3. Step 3: Cross multiply
    922.37x = 1,382.17 × 789.81
  4. Step 4: Simplify right side
    922.37x = 1,091,651.69
  5. Step 5: Solve for x
    x = 1,091,651.69/922.37
  6. Step 6: Final answer
    x = 1,183.53

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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.