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Finding the Fourth Proportional to 1,212.97, 1,819.71 and 391.33

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Solution

The fourth proportional to 1,212.97, 1,819.71 and 391.33 is: 587.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.97 : 1,819.71 = 391.33 : x
  2. Step 2: Convert to fraction form
    1,212.97/1,819.71 = 391.33/x
  3. Step 3: Cross multiply
    1,212.97x = 1,819.71 × 391.33
  4. Step 4: Simplify right side
    1,212.97x = 712,096.06
  5. Step 5: Solve for x
    x = 712,096.06/1,212.97
  6. Step 6: Final answer
    x = 587.07

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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.