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Finding the Fourth Proportional to 1,212.36, 1,819.62 and 563.46

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Solution

The fourth proportional to 1,212.36, 1,819.62 and 563.46 is: 845.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.36 : 1,819.62 = 563.46 : x
  2. Step 2: Convert to fraction form
    1,212.36/1,819.62 = 563.46/x
  3. Step 3: Cross multiply
    1,212.36x = 1,819.62 × 563.46
  4. Step 4: Simplify right side
    1,212.36x = 1,025,283.09
  5. Step 5: Solve for x
    x = 1,025,283.09/1,212.36
  6. Step 6: Final answer
    x = 845.69

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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.