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Finding the Fourth Proportional to 1,268.96, 1,904.81 and 1,065.76

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Solution

The fourth proportional to 1,268.96, 1,904.81 and 1,065.76 is: 1,599.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.96 : 1,904.81 = 1,065.76 : x
  2. Step 2: Convert to fraction form
    1,268.96/1,904.81 = 1,065.76/x
  3. Step 3: Cross multiply
    1,268.96x = 1,904.81 × 1,065.76
  4. Step 4: Simplify right side
    1,268.96x = 2,030,068.21
  5. Step 5: Solve for x
    x = 2,030,068.21/1,268.96
  6. Step 6: Final answer
    x = 1,599.79

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