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Finding the Fourth Proportional to 1,212.69, 1,819.07 and 335.21

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Solution

The fourth proportional to 1,212.69, 1,819.07 and 335.21 is: 502.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.69 : 1,819.07 = 335.21 : x
  2. Step 2: Convert to fraction form
    1,212.69/1,819.07 = 335.21/x
  3. Step 3: Cross multiply
    1,212.69x = 1,819.07 × 335.21
  4. Step 4: Simplify right side
    1,212.69x = 609,761.36
  5. Step 5: Solve for x
    x = 609,761.36/1,212.69
  6. Step 6: Final answer
    x = 502.82

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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.