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Finding the Fourth Proportional to 824.04, 1,229.67 and 736.44

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Solution

The fourth proportional to 824.04, 1,229.67 and 736.44 is: 1,098.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.04 : 1,229.67 = 736.44 : x
  2. Step 2: Convert to fraction form
    824.04/1,229.67 = 736.44/x
  3. Step 3: Cross multiply
    824.04x = 1,229.67 × 736.44
  4. Step 4: Simplify right side
    824.04x = 905,573.56
  5. Step 5: Solve for x
    x = 905,573.56/824.04
  6. Step 6: Final answer
    x = 1,098.94

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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.