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Finding the Fourth Proportional to 1,047.94, 1,571.65 and 431.82

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Solution

The fourth proportional to 1,047.94, 1,571.65 and 431.82 is: 647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.94 : 1,571.65 = 431.82 : x
  2. Step 2: Convert to fraction form
    1,047.94/1,571.65 = 431.82/x
  3. Step 3: Cross multiply
    1,047.94x = 1,571.65 × 431.82
  4. Step 4: Simplify right side
    1,047.94x = 678,669.90
  5. Step 5: Solve for x
    x = 678,669.90/1,047.94
  6. Step 6: Final answer
    x = 647.62

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