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Finding the Fourth Proportional to 1,314.02, 1,968.91 and 764.84

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Solution

The fourth proportional to 1,314.02, 1,968.91 and 764.84 is: 1,146.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.02 : 1,968.91 = 764.84 : x
  2. Step 2: Convert to fraction form
    1,314.02/1,968.91 = 764.84/x
  3. Step 3: Cross multiply
    1,314.02x = 1,968.91 × 764.84
  4. Step 4: Simplify right side
    1,314.02x = 1,505,904.13
  5. Step 5: Solve for x
    x = 1,505,904.13/1,314.02
  6. Step 6: Final answer
    x = 1,146.03

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