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Finding the Fourth Proportional to 548.13, 822.24 and 511.68

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Solution

The fourth proportional to 548.13, 822.24 and 511.68 is: 767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.13 : 822.24 = 511.68 : x
  2. Step 2: Convert to fraction form
    548.13/822.24 = 511.68/x
  3. Step 3: Cross multiply
    548.13x = 822.24 × 511.68
  4. Step 4: Simplify right side
    548.13x = 420,723.76
  5. Step 5: Solve for x
    x = 420,723.76/548.13
  6. Step 6: Final answer
    x = 767.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.