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Finding the Fourth Proportional to 964.56, 1,443.48 and 789.20

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Solution

The fourth proportional to 964.56, 1,443.48 and 789.20 is: 1,181.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.56 : 1,443.48 = 789.20 : x
  2. Step 2: Convert to fraction form
    964.56/1,443.48 = 789.20/x
  3. Step 3: Cross multiply
    964.56x = 1,443.48 × 789.20
  4. Step 4: Simplify right side
    964.56x = 1,139,194.42
  5. Step 5: Solve for x
    x = 1,139,194.42/964.56
  6. Step 6: Final answer
    x = 1,181.05

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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.