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Finding the Fourth Proportional to 778.26, 1,074.02 and 446.74

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Solution

The fourth proportional to 778.26, 1,074.02 and 446.74 is: 616.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.26 : 1,074.02 = 446.74 : x
  2. Step 2: Convert to fraction form
    778.26/1,074.02 = 446.74/x
  3. Step 3: Cross multiply
    778.26x = 1,074.02 × 446.74
  4. Step 4: Simplify right side
    778.26x = 479,807.69
  5. Step 5: Solve for x
    x = 479,807.69/778.26
  6. Step 6: Final answer
    x = 616.51

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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.