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Finding the Fourth Proportional to 1,110.13, 1,665.41 and 698.78

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Solution

The fourth proportional to 1,110.13, 1,665.41 and 698.78 is: 1,048.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.13 : 1,665.41 = 698.78 : x
  2. Step 2: Convert to fraction form
    1,110.13/1,665.41 = 698.78/x
  3. Step 3: Cross multiply
    1,110.13x = 1,665.41 × 698.78
  4. Step 4: Simplify right side
    1,110.13x = 1,163,750.43
  5. Step 5: Solve for x
    x = 1,163,750.43/1,110.13
  6. Step 6: Final answer
    x = 1,048.30

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