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Finding the Fourth Proportional to 1,320.24, 1,978.92 and 588.82

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Solution

The fourth proportional to 1,320.24, 1,978.92 and 588.82 is: 882.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.24 : 1,978.92 = 588.82 : x
  2. Step 2: Convert to fraction form
    1,320.24/1,978.92 = 588.82/x
  3. Step 3: Cross multiply
    1,320.24x = 1,978.92 × 588.82
  4. Step 4: Simplify right side
    1,320.24x = 1,165,227.67
  5. Step 5: Solve for x
    x = 1,165,227.67/1,320.24
  6. Step 6: Final answer
    x = 882.59

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