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Finding the Fourth Proportional to 778.41, 1,074.22 and 424.33

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Solution

The fourth proportional to 778.41, 1,074.22 and 424.33 is: 585.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.41 : 1,074.22 = 424.33 : x
  2. Step 2: Convert to fraction form
    778.41/1,074.22 = 424.33/x
  3. Step 3: Cross multiply
    778.41x = 1,074.22 × 424.33
  4. Step 4: Simplify right side
    778.41x = 455,818.97
  5. Step 5: Solve for x
    x = 455,818.97/778.41
  6. Step 6: Final answer
    x = 585.58

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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.