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Finding the Fourth Proportional to 733.62, 1,096.32 and 548.94

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Solution

The fourth proportional to 733.62, 1,096.32 and 548.94 is: 820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.62 : 1,096.32 = 548.94 : x
  2. Step 2: Convert to fraction form
    733.62/1,096.32 = 548.94/x
  3. Step 3: Cross multiply
    733.62x = 1,096.32 × 548.94
  4. Step 4: Simplify right side
    733.62x = 601,813.90
  5. Step 5: Solve for x
    x = 601,813.90/733.62
  6. Step 6: Final answer
    x = 820.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.