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Finding the Fourth Proportional to 819.38, 1,226.82 and 741.08

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Solution

The fourth proportional to 819.38, 1,226.82 and 741.08 is: 1,109.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.38 : 1,226.82 = 741.08 : x
  2. Step 2: Convert to fraction form
    819.38/1,226.82 = 741.08/x
  3. Step 3: Cross multiply
    819.38x = 1,226.82 × 741.08
  4. Step 4: Simplify right side
    819.38x = 909,171.77
  5. Step 5: Solve for x
    x = 909,171.77/819.38
  6. Step 6: Final answer
    x = 1,109.59

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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.