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Finding the Fourth Proportional to 789.45, 1,183.86 and 269.35

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Solution

The fourth proportional to 789.45, 1,183.86 and 269.35 is: 403.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.45 : 1,183.86 = 269.35 : x
  2. Step 2: Convert to fraction form
    789.45/1,183.86 = 269.35/x
  3. Step 3: Cross multiply
    789.45x = 1,183.86 × 269.35
  4. Step 4: Simplify right side
    789.45x = 318,872.69
  5. Step 5: Solve for x
    x = 318,872.69/789.45
  6. Step 6: Final answer
    x = 403.92

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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.