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Finding the Fourth Proportional to 1,047.82, 1,571.12 and 430.83

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Solution

The fourth proportional to 1,047.82, 1,571.12 and 430.83 is: 645.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.82 : 1,571.12 = 430.83 : x
  2. Step 2: Convert to fraction form
    1,047.82/1,571.12 = 430.83/x
  3. Step 3: Cross multiply
    1,047.82x = 1,571.12 × 430.83
  4. Step 4: Simplify right side
    1,047.82x = 676,881.88
  5. Step 5: Solve for x
    x = 676,881.88/1,047.82
  6. Step 6: Final answer
    x = 645.99

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