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Finding the Fourth Proportional to 1,265.44, 1,895.64 and 1,005.88

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Solution

The fourth proportional to 1,265.44, 1,895.64 and 1,005.88 is: 1,506.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.44 : 1,895.64 = 1,005.88 : x
  2. Step 2: Convert to fraction form
    1,265.44/1,895.64 = 1,005.88/x
  3. Step 3: Cross multiply
    1,265.44x = 1,895.64 × 1,005.88
  4. Step 4: Simplify right side
    1,265.44x = 1,906,786.36
  5. Step 5: Solve for x
    x = 1,906,786.36/1,265.44
  6. Step 6: Final answer
    x = 1,506.82

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