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Finding the Fourth Proportional to 1,320.72, 1,978.24 and 857.15

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Solution

The fourth proportional to 1,320.72, 1,978.24 and 857.15 is: 1,283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.72 : 1,978.24 = 857.15 : x
  2. Step 2: Convert to fraction form
    1,320.72/1,978.24 = 857.15/x
  3. Step 3: Cross multiply
    1,320.72x = 1,978.24 × 857.15
  4. Step 4: Simplify right side
    1,320.72x = 1,695,640.67
  5. Step 5: Solve for x
    x = 1,695,640.67/1,320.72
  6. Step 6: Final answer
    x = 1,283.88

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