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Finding the Fourth Proportional to 1,226.67, 1,839.81 and 360.78

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Solution

The fourth proportional to 1,226.67, 1,839.81 and 360.78 is: 541.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.67 : 1,839.81 = 360.78 : x
  2. Step 2: Convert to fraction form
    1,226.67/1,839.81 = 360.78/x
  3. Step 3: Cross multiply
    1,226.67x = 1,839.81 × 360.78
  4. Step 4: Simplify right side
    1,226.67x = 663,764.85
  5. Step 5: Solve for x
    x = 663,764.85/1,226.67
  6. Step 6: Final answer
    x = 541.11

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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.