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Finding the Fourth Proportional to 789.82, 1,184.43 and 378.85

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Solution

The fourth proportional to 789.82, 1,184.43 and 378.85 is: 568.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.82 : 1,184.43 = 378.85 : x
  2. Step 2: Convert to fraction form
    789.82/1,184.43 = 378.85/x
  3. Step 3: Cross multiply
    789.82x = 1,184.43 × 378.85
  4. Step 4: Simplify right side
    789.82x = 448,721.31
  5. Step 5: Solve for x
    x = 448,721.31/789.82
  6. Step 6: Final answer
    x = 568.13

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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.