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Finding the Fourth Proportional to 1,226.38, 1,839.97 and 495.56

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Solution

The fourth proportional to 1,226.38, 1,839.97 and 495.56 is: 743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.38 : 1,839.97 = 495.56 : x
  2. Step 2: Convert to fraction form
    1,226.38/1,839.97 = 495.56/x
  3. Step 3: Cross multiply
    1,226.38x = 1,839.97 × 495.56
  4. Step 4: Simplify right side
    1,226.38x = 911,806.33
  5. Step 5: Solve for x
    x = 911,806.33/1,226.38
  6. Step 6: Final answer
    x = 743.50

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Double scale
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1.5x scale

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.