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Finding the Fourth Proportional to 828.68, 1,241.62 and 519.84

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Solution

The fourth proportional to 828.68, 1,241.62 and 519.84 is: 778.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.68 : 1,241.62 = 519.84 : x
  2. Step 2: Convert to fraction form
    828.68/1,241.62 = 519.84/x
  3. Step 3: Cross multiply
    828.68x = 1,241.62 × 519.84
  4. Step 4: Simplify right side
    828.68x = 645,442.44
  5. Step 5: Solve for x
    x = 645,442.44/828.68
  6. Step 6: Final answer
    x = 778.88

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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.