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Finding the Fourth Proportional to 1,212.69, 1,819.02 and 518.77

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Solution

The fourth proportional to 1,212.69, 1,819.02 and 518.77 is: 778.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.69 : 1,819.02 = 518.77 : x
  2. Step 2: Convert to fraction form
    1,212.69/1,819.02 = 518.77/x
  3. Step 3: Cross multiply
    1,212.69x = 1,819.02 × 518.77
  4. Step 4: Simplify right side
    1,212.69x = 943,653.01
  5. Step 5: Solve for x
    x = 943,653.01/1,212.69
  6. Step 6: Final answer
    x = 778.15

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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.