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Finding the Fourth Proportional to 1,314.02, 1,972.08 and 492.95

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Solution

The fourth proportional to 1,314.02, 1,972.08 and 492.95 is: 739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.02 : 1,972.08 = 492.95 : x
  2. Step 2: Convert to fraction form
    1,314.02/1,972.08 = 492.95/x
  3. Step 3: Cross multiply
    1,314.02x = 1,972.08 × 492.95
  4. Step 4: Simplify right side
    1,314.02x = 972,136.84
  5. Step 5: Solve for x
    x = 972,136.84/1,314.02
  6. Step 6: Final answer
    x = 739.82

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