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Finding the Fourth Proportional to 1,212.81, 1,819.23 and 482.57

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Solution

The fourth proportional to 1,212.81, 1,819.23 and 482.57 is: 723.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.81 : 1,819.23 = 482.57 : x
  2. Step 2: Convert to fraction form
    1,212.81/1,819.23 = 482.57/x
  3. Step 3: Cross multiply
    1,212.81x = 1,819.23 × 482.57
  4. Step 4: Simplify right side
    1,212.81x = 877,908.56
  5. Step 5: Solve for x
    x = 877,908.56/1,212.81
  6. Step 6: Final answer
    x = 723.86

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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.