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Finding the Fourth Proportional to 1,297.25, 1,944.24 and 1,022.25

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Solution

The fourth proportional to 1,297.25, 1,944.24 and 1,022.25 is: 1,532.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.25 : 1,944.24 = 1,022.25 : x
  2. Step 2: Convert to fraction form
    1,297.25/1,944.24 = 1,022.25/x
  3. Step 3: Cross multiply
    1,297.25x = 1,944.24 × 1,022.25
  4. Step 4: Simplify right side
    1,297.25x = 1,987,499.34
  5. Step 5: Solve for x
    x = 1,987,499.34/1,297.25
  6. Step 6: Final answer
    x = 1,532.09

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