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Finding the Fourth Proportional to 789.82, 1,184.74 and 269.88

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Solution

The fourth proportional to 789.82, 1,184.74 and 269.88 is: 404.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.82 : 1,184.74 = 269.88 : x
  2. Step 2: Convert to fraction form
    789.82/1,184.74 = 269.88/x
  3. Step 3: Cross multiply
    789.82x = 1,184.74 × 269.88
  4. Step 4: Simplify right side
    789.82x = 319,737.63
  5. Step 5: Solve for x
    x = 319,737.63/789.82
  6. Step 6: Final answer
    x = 404.82

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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.