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Finding the Fourth Proportional to 648.28, 893.82 and 523.48

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Solution

The fourth proportional to 648.28, 893.82 and 523.48 is: 721.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.28 : 893.82 = 523.48 : x
  2. Step 2: Convert to fraction form
    648.28/893.82 = 523.48/x
  3. Step 3: Cross multiply
    648.28x = 893.82 × 523.48
  4. Step 4: Simplify right side
    648.28x = 467,896.89
  5. Step 5: Solve for x
    x = 467,896.89/648.28
  6. Step 6: Final answer
    x = 721.75

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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.