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Finding the Fourth Proportional to 1,084.93, 1,627.44 and 1,066.75

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Solution

The fourth proportional to 1,084.93, 1,627.44 and 1,066.75 is: 1,600.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.93 : 1,627.44 = 1,066.75 : x
  2. Step 2: Convert to fraction form
    1,084.93/1,627.44 = 1,066.75/x
  3. Step 3: Cross multiply
    1,084.93x = 1,627.44 × 1,066.75
  4. Step 4: Simplify right side
    1,084.93x = 1,736,071.62
  5. Step 5: Solve for x
    x = 1,736,071.62/1,084.93
  6. Step 6: Final answer
    x = 1,600.17

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