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Finding the Fourth Proportional to 1,109.56, 1,665.58 and 647.88

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Solution

The fourth proportional to 1,109.56, 1,665.58 and 647.88 is: 972.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.56 : 1,665.58 = 647.88 : x
  2. Step 2: Convert to fraction form
    1,109.56/1,665.58 = 647.88/x
  3. Step 3: Cross multiply
    1,109.56x = 1,665.58 × 647.88
  4. Step 4: Simplify right side
    1,109.56x = 1,079,095.97
  5. Step 5: Solve for x
    x = 1,079,095.97/1,109.56
  6. Step 6: Final answer
    x = 972.54

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