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Finding the Fourth Proportional to 1,226.05, 1,839.36 and 360.43

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Solution

The fourth proportional to 1,226.05, 1,839.36 and 360.43 is: 540.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.05 : 1,839.36 = 360.43 : x
  2. Step 2: Convert to fraction form
    1,226.05/1,839.36 = 360.43/x
  3. Step 3: Cross multiply
    1,226.05x = 1,839.36 × 360.43
  4. Step 4: Simplify right side
    1,226.05x = 662,960.52
  5. Step 5: Solve for x
    x = 662,960.52/1,226.05
  6. Step 6: Final answer
    x = 540.73

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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.