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Finding the Fourth Proportional to 1,439.80, 2,158.14 and 789.64

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Solution

The fourth proportional to 1,439.80, 2,158.14 and 789.64 is: 1,183.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.80 : 2,158.14 = 789.64 : x
  2. Step 2: Convert to fraction form
    1,439.80/2,158.14 = 789.64/x
  3. Step 3: Cross multiply
    1,439.80x = 2,158.14 × 789.64
  4. Step 4: Simplify right side
    1,439.80x = 1,704,153.67
  5. Step 5: Solve for x
    x = 1,704,153.67/1,439.80
  6. Step 6: Final answer
    x = 1,183.60

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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.