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Finding the Fourth Proportional to 789.06, 1,183.23 and 241.23

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Solution

The fourth proportional to 789.06, 1,183.23 and 241.23 is: 361.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.06 : 1,183.23 = 241.23 : x
  2. Step 2: Convert to fraction form
    789.06/1,183.23 = 241.23/x
  3. Step 3: Cross multiply
    789.06x = 1,183.23 × 241.23
  4. Step 4: Simplify right side
    789.06x = 285,430.57
  5. Step 5: Solve for x
    x = 285,430.57/789.06
  6. Step 6: Final answer
    x = 361.73

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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.