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Finding the Fourth Proportional to 1,065.72, 1,599.12 and 654.96

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Solution

The fourth proportional to 1,065.72, 1,599.12 and 654.96 is: 982.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.72 : 1,599.12 = 654.96 : x
  2. Step 2: Convert to fraction form
    1,065.72/1,599.12 = 654.96/x
  3. Step 3: Cross multiply
    1,065.72x = 1,599.12 × 654.96
  4. Step 4: Simplify right side
    1,065.72x = 1,047,359.64
  5. Step 5: Solve for x
    x = 1,047,359.64/1,065.72
  6. Step 6: Final answer
    x = 982.77

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