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Finding the Fourth Proportional to 1,212.84, 1,819.80 and 482.94

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Solution

The fourth proportional to 1,212.84, 1,819.80 and 482.94 is: 724.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.84 : 1,819.80 = 482.94 : x
  2. Step 2: Convert to fraction form
    1,212.84/1,819.80 = 482.94/x
  3. Step 3: Cross multiply
    1,212.84x = 1,819.80 × 482.94
  4. Step 4: Simplify right side
    1,212.84x = 878,854.21
  5. Step 5: Solve for x
    x = 878,854.21/1,212.84
  6. Step 6: Final answer
    x = 724.63

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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.