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Finding the Fourth Proportional to 1,104.55, 1,656.81 and 282.82

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Solution

The fourth proportional to 1,104.55, 1,656.81 and 282.82 is: 424.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.55 : 1,656.81 = 282.82 : x
  2. Step 2: Convert to fraction form
    1,104.55/1,656.81 = 282.82/x
  3. Step 3: Cross multiply
    1,104.55x = 1,656.81 × 282.82
  4. Step 4: Simplify right side
    1,104.55x = 468,579.00
  5. Step 5: Solve for x
    x = 468,579.00/1,104.55
  6. Step 6: Final answer
    x = 424.23

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