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Finding the Fourth Proportional to 1,212.82, 1,819.56 and 555.12

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Solution

The fourth proportional to 1,212.82, 1,819.56 and 555.12 is: 832.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.82 : 1,819.56 = 555.12 : x
  2. Step 2: Convert to fraction form
    1,212.82/1,819.56 = 555.12/x
  3. Step 3: Cross multiply
    1,212.82x = 1,819.56 × 555.12
  4. Step 4: Simplify right side
    1,212.82x = 1,010,076.23
  5. Step 5: Solve for x
    x = 1,010,076.23/1,212.82
  6. Step 6: Final answer
    x = 832.83

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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.