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Finding the Fourth Proportional to 746.94, 1,121.10 and 381.96

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Solution

The fourth proportional to 746.94, 1,121.10 and 381.96 is: 573.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.94 : 1,121.10 = 381.96 : x
  2. Step 2: Convert to fraction form
    746.94/1,121.10 = 381.96/x
  3. Step 3: Cross multiply
    746.94x = 1,121.10 × 381.96
  4. Step 4: Simplify right side
    746.94x = 428,215.36
  5. Step 5: Solve for x
    x = 428,215.36/746.94
  6. Step 6: Final answer
    x = 573.29

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Why These Related Problems?

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