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Finding the Fourth Proportional to 892.91, 1,232.75 and 578.27

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Solution

The fourth proportional to 892.91, 1,232.75 and 578.27 is: 798.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.91 : 1,232.75 = 578.27 : x
  2. Step 2: Convert to fraction form
    892.91/1,232.75 = 578.27/x
  3. Step 3: Cross multiply
    892.91x = 1,232.75 × 578.27
  4. Step 4: Simplify right side
    892.91x = 712,859.45
  5. Step 5: Solve for x
    x = 712,859.45/892.91
  6. Step 6: Final answer
    x = 798.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.