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Finding the Fourth Proportional to 519.62, 779.43 and 518.85

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Solution

The fourth proportional to 519.62, 779.43 and 518.85 is: 778.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.62 : 779.43 = 518.85 : x
  2. Step 2: Convert to fraction form
    519.62/779.43 = 518.85/x
  3. Step 3: Cross multiply
    519.62x = 779.43 × 518.85
  4. Step 4: Simplify right side
    519.62x = 404,407.26
  5. Step 5: Solve for x
    x = 404,407.26/519.62
  6. Step 6: Final answer
    x = 778.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.