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Finding the Fourth Proportional to 778.14, 1,073.85 and 428.85

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Solution

The fourth proportional to 778.14, 1,073.85 and 428.85 is: 591.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.14 : 1,073.85 = 428.85 : x
  2. Step 2: Convert to fraction form
    778.14/1,073.85 = 428.85/x
  3. Step 3: Cross multiply
    778.14x = 1,073.85 × 428.85
  4. Step 4: Simplify right side
    778.14x = 460,520.57
  5. Step 5: Solve for x
    x = 460,520.57/778.14
  6. Step 6: Final answer
    x = 591.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.