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Finding the Fourth Proportional to 1,227.25, 1,840.28 and 496.27

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Solution

The fourth proportional to 1,227.25, 1,840.28 and 496.27 is: 744.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.25 : 1,840.28 = 496.27 : x
  2. Step 2: Convert to fraction form
    1,227.25/1,840.28 = 496.27/x
  3. Step 3: Cross multiply
    1,227.25x = 1,840.28 × 496.27
  4. Step 4: Simplify right side
    1,227.25x = 913,273.27
  5. Step 5: Solve for x
    x = 913,273.27/1,227.25
  6. Step 6: Final answer
    x = 744.16

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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.