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Finding the Fourth Proportional to 1,226.17, 1,839.48 and 495.55

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Solution

The fourth proportional to 1,226.17, 1,839.48 and 495.55 is: 743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.17 : 1,839.48 = 495.55 : x
  2. Step 2: Convert to fraction form
    1,226.17/1,839.48 = 495.55/x
  3. Step 3: Cross multiply
    1,226.17x = 1,839.48 × 495.55
  4. Step 4: Simplify right side
    1,226.17x = 911,554.31
  5. Step 5: Solve for x
    x = 911,554.31/1,226.17
  6. Step 6: Final answer
    x = 743.42

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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.