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Finding the Fourth Proportional to 778.16, 1,073.84 and 428.85

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Solution

The fourth proportional to 778.16, 1,073.84 and 428.85 is: 591.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.16 : 1,073.84 = 428.85 : x
  2. Step 2: Convert to fraction form
    778.16/1,073.84 = 428.85/x
  3. Step 3: Cross multiply
    778.16x = 1,073.84 × 428.85
  4. Step 4: Simplify right side
    778.16x = 460,516.28
  5. Step 5: Solve for x
    x = 460,516.28/778.16
  6. Step 6: Final answer
    x = 591.80

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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.