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Finding the Fourth Proportional to 1,109.80, 1,663.82 and 562.20

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Solution

The fourth proportional to 1,109.80, 1,663.82 and 562.20 is: 842.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.80 : 1,663.82 = 562.20 : x
  2. Step 2: Convert to fraction form
    1,109.80/1,663.82 = 562.20/x
  3. Step 3: Cross multiply
    1,109.80x = 1,663.82 × 562.20
  4. Step 4: Simplify right side
    1,109.80x = 935,399.60
  5. Step 5: Solve for x
    x = 935,399.60/1,109.80
  6. Step 6: Final answer
    x = 842.85

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