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Finding the Fourth Proportional to 1,226.34, 1,839.87 and 360.66

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Solution

The fourth proportional to 1,226.34, 1,839.87 and 360.66 is: 541.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.34 : 1,839.87 = 360.66 : x
  2. Step 2: Convert to fraction form
    1,226.34/1,839.87 = 360.66/x
  3. Step 3: Cross multiply
    1,226.34x = 1,839.87 × 360.66
  4. Step 4: Simplify right side
    1,226.34x = 663,560.61
  5. Step 5: Solve for x
    x = 663,560.61/1,226.34
  6. Step 6: Final answer
    x = 541.09

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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.