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Finding the Fourth Proportional to 1,052.43, 1,578.47 and 282.75

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Solution

The fourth proportional to 1,052.43, 1,578.47 and 282.75 is: 424.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.43 : 1,578.47 = 282.75 : x
  2. Step 2: Convert to fraction form
    1,052.43/1,578.47 = 282.75/x
  3. Step 3: Cross multiply
    1,052.43x = 1,578.47 × 282.75
  4. Step 4: Simplify right side
    1,052.43x = 446,310.98
  5. Step 5: Solve for x
    x = 446,310.98/1,052.43
  6. Step 6: Final answer
    x = 424.08

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