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Finding the Fourth Proportional to 778.25, 1,074.04 and 446.69

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Solution

The fourth proportional to 778.25, 1,074.04 and 446.69 is: 616.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.25 : 1,074.04 = 446.69 : x
  2. Step 2: Convert to fraction form
    778.25/1,074.04 = 446.69/x
  3. Step 3: Cross multiply
    778.25x = 1,074.04 × 446.69
  4. Step 4: Simplify right side
    778.25x = 479,756.44
  5. Step 5: Solve for x
    x = 479,756.44/778.25
  6. Step 6: Final answer
    x = 616.46

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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.