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Finding the Fourth Proportional to 1,204.56, 1,802.40 and 1,065.96

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Solution

The fourth proportional to 1,204.56, 1,802.40 and 1,065.96 is: 1,595.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.56 : 1,802.40 = 1,065.96 : x
  2. Step 2: Convert to fraction form
    1,204.56/1,802.40 = 1,065.96/x
  3. Step 3: Cross multiply
    1,204.56x = 1,802.40 × 1,065.96
  4. Step 4: Simplify right side
    1,204.56x = 1,921,286.30
  5. Step 5: Solve for x
    x = 1,921,286.30/1,204.56
  6. Step 6: Final answer
    x = 1,595.01

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