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Finding the Fourth Proportional to 519.89, 778.61 and 483.44

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Solution

The fourth proportional to 519.89, 778.61 and 483.44 is: 724.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.89 : 778.61 = 483.44 : x
  2. Step 2: Convert to fraction form
    519.89/778.61 = 483.44/x
  3. Step 3: Cross multiply
    519.89x = 778.61 × 483.44
  4. Step 4: Simplify right side
    519.89x = 376,404.91
  5. Step 5: Solve for x
    x = 376,404.91/519.89
  6. Step 6: Final answer
    x = 724.02

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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.