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Finding the Fourth Proportional to 1,110.12, 1,664.64 and 698.64

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Solution

The fourth proportional to 1,110.12, 1,664.64 and 698.64 is: 1,047.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.12 : 1,664.64 = 698.64 : x
  2. Step 2: Convert to fraction form
    1,110.12/1,664.64 = 698.64/x
  3. Step 3: Cross multiply
    1,110.12x = 1,664.64 × 698.64
  4. Step 4: Simplify right side
    1,110.12x = 1,162,984.09
  5. Step 5: Solve for x
    x = 1,162,984.09/1,110.12
  6. Step 6: Final answer
    x = 1,047.62

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