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Finding the Fourth Proportional to 1,577.73, 2,365.08 and 590.27

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Solution

The fourth proportional to 1,577.73, 2,365.08 and 590.27 is: 884.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.73 : 2,365.08 = 590.27 : x
  2. Step 2: Convert to fraction form
    1,577.73/2,365.08 = 590.27/x
  3. Step 3: Cross multiply
    1,577.73x = 2,365.08 × 590.27
  4. Step 4: Simplify right side
    1,577.73x = 1,396,036.70
  5. Step 5: Solve for x
    x = 1,396,036.70/1,577.73
  6. Step 6: Final answer
    x = 884.84

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