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Finding the Fourth Proportional to 778.98, 1,074.85 and 464.20

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Solution

The fourth proportional to 778.98, 1,074.85 and 464.20 is: 640.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.98 : 1,074.85 = 464.20 : x
  2. Step 2: Convert to fraction form
    778.98/1,074.85 = 464.20/x
  3. Step 3: Cross multiply
    778.98x = 1,074.85 × 464.20
  4. Step 4: Simplify right side
    778.98x = 498,945.37
  5. Step 5: Solve for x
    x = 498,945.37/778.98
  6. Step 6: Final answer
    x = 640.51

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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.