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Finding the Fourth Proportional to 789.09, 1,183.64 and 211.96

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Solution

The fourth proportional to 789.09, 1,183.64 and 211.96 is: 317.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.09 : 1,183.64 = 211.96 : x
  2. Step 2: Convert to fraction form
    789.09/1,183.64 = 211.96/x
  3. Step 3: Cross multiply
    789.09x = 1,183.64 × 211.96
  4. Step 4: Simplify right side
    789.09x = 250,883.27
  5. Step 5: Solve for x
    x = 250,883.27/789.09
  6. Step 6: Final answer
    x = 317.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.