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Finding the Fourth Proportional to 778.41, 1,074.20 and 463.66

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Solution

The fourth proportional to 778.41, 1,074.20 and 463.66 is: 639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.41 : 1,074.20 = 463.66 : x
  2. Step 2: Convert to fraction form
    778.41/1,074.20 = 463.66/x
  3. Step 3: Cross multiply
    778.41x = 1,074.20 × 463.66
  4. Step 4: Simplify right side
    778.41x = 498,058.57
  5. Step 5: Solve for x
    x = 498,058.57/778.41
  6. Step 6: Final answer
    x = 639.84

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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.