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Finding the Fourth Proportional to 1,653.82, 2,479.55 and 775.83

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Solution

The fourth proportional to 1,653.82, 2,479.55 and 775.83 is: 1,163.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.82 : 2,479.55 = 775.83 : x
  2. Step 2: Convert to fraction form
    1,653.82/2,479.55 = 775.83/x
  3. Step 3: Cross multiply
    1,653.82x = 2,479.55 × 775.83
  4. Step 4: Simplify right side
    1,653.82x = 1,923,700.75
  5. Step 5: Solve for x
    x = 1,923,700.75/1,653.82
  6. Step 6: Final answer
    x = 1,163.19

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