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Finding the Fourth Proportional to 1,226.39, 1,839.03 and 733.01

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Solution

The fourth proportional to 1,226.39, 1,839.03 and 733.01 is: 1,099.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.39 : 1,839.03 = 733.01 : x
  2. Step 2: Convert to fraction form
    1,226.39/1,839.03 = 733.01/x
  3. Step 3: Cross multiply
    1,226.39x = 1,839.03 × 733.01
  4. Step 4: Simplify right side
    1,226.39x = 1,348,027.38
  5. Step 5: Solve for x
    x = 1,348,027.38/1,226.39
  6. Step 6: Final answer
    x = 1,099.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.