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Finding the Fourth Proportional to 548.70, 827.16 and 543.84

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Solution

The fourth proportional to 548.70, 827.16 and 543.84 is: 819.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.70 : 827.16 = 543.84 : x
  2. Step 2: Convert to fraction form
    548.70/827.16 = 543.84/x
  3. Step 3: Cross multiply
    548.70x = 827.16 × 543.84
  4. Step 4: Simplify right side
    548.70x = 449,842.69
  5. Step 5: Solve for x
    x = 449,842.69/548.70
  6. Step 6: Final answer
    x = 819.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.