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Finding the Fourth Proportional to 789.69, 1,183.93 and 269.36

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Solution

The fourth proportional to 789.69, 1,183.93 and 269.36 is: 403.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.69 : 1,183.93 = 269.36 : x
  2. Step 2: Convert to fraction form
    789.69/1,183.93 = 269.36/x
  3. Step 3: Cross multiply
    789.69x = 1,183.93 × 269.36
  4. Step 4: Simplify right side
    789.69x = 318,903.38
  5. Step 5: Solve for x
    x = 318,903.38/789.69
  6. Step 6: Final answer
    x = 403.83

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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.