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Finding the Fourth Proportional to 1,226.75, 1,839.53 and 495.77

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Solution

The fourth proportional to 1,226.75, 1,839.53 and 495.77 is: 743.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.75 : 1,839.53 = 495.77 : x
  2. Step 2: Convert to fraction form
    1,226.75/1,839.53 = 495.77/x
  3. Step 3: Cross multiply
    1,226.75x = 1,839.53 × 495.77
  4. Step 4: Simplify right side
    1,226.75x = 911,981.31
  5. Step 5: Solve for x
    x = 911,981.31/1,226.75
  6. Step 6: Final answer
    x = 743.41

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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.