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Finding the Fourth Proportional to 789.12, 1,183.70 and 276.12

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Solution

The fourth proportional to 789.12, 1,183.70 and 276.12 is: 414.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.12 : 1,183.70 = 276.12 : x
  2. Step 2: Convert to fraction form
    789.12/1,183.70 = 276.12/x
  3. Step 3: Cross multiply
    789.12x = 1,183.70 × 276.12
  4. Step 4: Simplify right side
    789.12x = 326,843.24
  5. Step 5: Solve for x
    x = 326,843.24/789.12
  6. Step 6: Final answer
    x = 414.19

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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.