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Finding the Fourth Proportional to 1,268.76, 1,902.87 and 402.87

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Solution

The fourth proportional to 1,268.76, 1,902.87 and 402.87 is: 604.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.76 : 1,902.87 = 402.87 : x
  2. Step 2: Convert to fraction form
    1,268.76/1,902.87 = 402.87/x
  3. Step 3: Cross multiply
    1,268.76x = 1,902.87 × 402.87
  4. Step 4: Simplify right side
    1,268.76x = 766,609.24
  5. Step 5: Solve for x
    x = 766,609.24/1,268.76
  6. Step 6: Final answer
    x = 604.22

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