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Finding the Fourth Proportional to 789.84, 1,184.76 and 269.90

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Solution

The fourth proportional to 789.84, 1,184.76 and 269.90 is: 404.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.84 : 1,184.76 = 269.90 : x
  2. Step 2: Convert to fraction form
    789.84/1,184.76 = 269.90/x
  3. Step 3: Cross multiply
    789.84x = 1,184.76 × 269.90
  4. Step 4: Simplify right side
    789.84x = 319,766.72
  5. Step 5: Solve for x
    x = 319,766.72/789.84
  6. Step 6: Final answer
    x = 404.85

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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.