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Finding the Fourth Proportional to 1,213.05, 1,819.25 and 335.35

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Solution

The fourth proportional to 1,213.05, 1,819.25 and 335.35 is: 502.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.05 : 1,819.25 = 335.35 : x
  2. Step 2: Convert to fraction form
    1,213.05/1,819.25 = 335.35/x
  3. Step 3: Cross multiply
    1,213.05x = 1,819.25 × 335.35
  4. Step 4: Simplify right side
    1,213.05x = 610,077.11
  5. Step 5: Solve for x
    x = 610,077.11/1,213.05
  6. Step 6: Final answer
    x = 502.93

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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.