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Finding the Fourth Proportional to 1,212.95, 1,819.56 and 519.86

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Solution

The fourth proportional to 1,212.95, 1,819.56 and 519.86 is: 779.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.95 : 1,819.56 = 519.86 : x
  2. Step 2: Convert to fraction form
    1,212.95/1,819.56 = 519.86/x
  3. Step 3: Cross multiply
    1,212.95x = 1,819.56 × 519.86
  4. Step 4: Simplify right side
    1,212.95x = 945,916.46
  5. Step 5: Solve for x
    x = 945,916.46/1,212.95
  6. Step 6: Final answer
    x = 779.85

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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.