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Finding the Fourth Proportional to 1,225.80, 1,839.42 and 495.27

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Solution

The fourth proportional to 1,225.80, 1,839.42 and 495.27 is: 743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.80 : 1,839.42 = 495.27 : x
  2. Step 2: Convert to fraction form
    1,225.80/1,839.42 = 495.27/x
  3. Step 3: Cross multiply
    1,225.80x = 1,839.42 × 495.27
  4. Step 4: Simplify right side
    1,225.80x = 911,009.54
  5. Step 5: Solve for x
    x = 911,009.54/1,225.80
  6. Step 6: Final answer
    x = 743.20

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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.