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Finding the Fourth Proportional to 548.70, 822.23 and 535.11

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Solution

The fourth proportional to 548.70, 822.23 and 535.11 is: 801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.70 : 822.23 = 535.11 : x
  2. Step 2: Convert to fraction form
    548.70/822.23 = 535.11/x
  3. Step 3: Cross multiply
    548.70x = 822.23 × 535.11
  4. Step 4: Simplify right side
    548.70x = 439,984.37
  5. Step 5: Solve for x
    x = 439,984.37/548.70
  6. Step 6: Final answer
    x = 801.87

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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.