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Finding the Fourth Proportional to 866.12, 1,298.57 and 519.44

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Solution

The fourth proportional to 866.12, 1,298.57 and 519.44 is: 778.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.12 : 1,298.57 = 519.44 : x
  2. Step 2: Convert to fraction form
    866.12/1,298.57 = 519.44/x
  3. Step 3: Cross multiply
    866.12x = 1,298.57 × 519.44
  4. Step 4: Simplify right side
    866.12x = 674,520.11
  5. Step 5: Solve for x
    x = 674,520.11/866.12
  6. Step 6: Final answer
    x = 778.79

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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.