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Finding the Fourth Proportional to 1,212.49, 1,819.25 and 519.31

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Solution

The fourth proportional to 1,212.49, 1,819.25 and 519.31 is: 779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.49 : 1,819.25 = 519.31 : x
  2. Step 2: Convert to fraction form
    1,212.49/1,819.25 = 519.31/x
  3. Step 3: Cross multiply
    1,212.49x = 1,819.25 × 519.31
  4. Step 4: Simplify right side
    1,212.49x = 944,754.72
  5. Step 5: Solve for x
    x = 944,754.72/1,212.49
  6. Step 6: Final answer
    x = 779.19

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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.