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Finding the Fourth Proportional to 1,212.77, 1,819.34 and 519.44

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Solution

The fourth proportional to 1,212.77, 1,819.34 and 519.44 is: 779.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.77 : 1,819.34 = 519.44 : x
  2. Step 2: Convert to fraction form
    1,212.77/1,819.34 = 519.44/x
  3. Step 3: Cross multiply
    1,212.77x = 1,819.34 × 519.44
  4. Step 4: Simplify right side
    1,212.77x = 945,037.97
  5. Step 5: Solve for x
    x = 945,037.97/1,212.77
  6. Step 6: Final answer
    x = 779.24

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