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Finding the Fourth Proportional to 1,213.39, 1,819.68 and 391.65

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Solution

The fourth proportional to 1,213.39, 1,819.68 and 391.65 is: 587.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.39 : 1,819.68 = 391.65 : x
  2. Step 2: Convert to fraction form
    1,213.39/1,819.68 = 391.65/x
  3. Step 3: Cross multiply
    1,213.39x = 1,819.68 × 391.65
  4. Step 4: Simplify right side
    1,213.39x = 712,677.67
  5. Step 5: Solve for x
    x = 712,677.67/1,213.39
  6. Step 6: Final answer
    x = 587.34

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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.