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Finding the Fourth Proportional to 778.25, 1,074.03 and 428.94

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Solution

The fourth proportional to 778.25, 1,074.03 and 428.94 is: 591.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.25 : 1,074.03 = 428.94 : x
  2. Step 2: Convert to fraction form
    778.25/1,074.03 = 428.94/x
  3. Step 3: Cross multiply
    778.25x = 1,074.03 × 428.94
  4. Step 4: Simplify right side
    778.25x = 460,692.01
  5. Step 5: Solve for x
    x = 460,692.01/778.25
  6. Step 6: Final answer
    x = 591.96

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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.