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Finding the Fourth Proportional to 1,602.73, 2,402.16 and 779.77

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Solution

The fourth proportional to 1,602.73, 2,402.16 and 779.77 is: 1,168.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.73 : 2,402.16 = 779.77 : x
  2. Step 2: Convert to fraction form
    1,602.73/2,402.16 = 779.77/x
  3. Step 3: Cross multiply
    1,602.73x = 2,402.16 × 779.77
  4. Step 4: Simplify right side
    1,602.73x = 1,873,132.30
  5. Step 5: Solve for x
    x = 1,873,132.30/1,602.73
  6. Step 6: Final answer
    x = 1,168.71

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