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Finding the Fourth Proportional to 748.75, 1,120.81 and 684.97

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Solution

The fourth proportional to 748.75, 1,120.81 and 684.97 is: 1,025.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.75 : 1,120.81 = 684.97 : x
  2. Step 2: Convert to fraction form
    748.75/1,120.81 = 684.97/x
  3. Step 3: Cross multiply
    748.75x = 1,120.81 × 684.97
  4. Step 4: Simplify right side
    748.75x = 767,721.23
  5. Step 5: Solve for x
    x = 767,721.23/748.75
  6. Step 6: Final answer
    x = 1,025.34

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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.