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Finding the Fourth Proportional to 1,213.96, 1,819.21 and 554.21

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Solution

The fourth proportional to 1,213.96, 1,819.21 and 554.21 is: 830.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.96 : 1,819.21 = 554.21 : x
  2. Step 2: Convert to fraction form
    1,213.96/1,819.21 = 554.21/x
  3. Step 3: Cross multiply
    1,213.96x = 1,819.21 × 554.21
  4. Step 4: Simplify right side
    1,213.96x = 1,008,229.61
  5. Step 5: Solve for x
    x = 1,008,229.61/1,213.96
  6. Step 6: Final answer
    x = 830.53

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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.