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Finding the Fourth Proportional to 748.84, 1,121.97 and 672.75

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Solution

The fourth proportional to 748.84, 1,121.97 and 672.75 is: 1,007.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.84 : 1,121.97 = 672.75 : x
  2. Step 2: Convert to fraction form
    748.84/1,121.97 = 672.75/x
  3. Step 3: Cross multiply
    748.84x = 1,121.97 × 672.75
  4. Step 4: Simplify right side
    748.84x = 754,806.16
  5. Step 5: Solve for x
    x = 754,806.16/748.84
  6. Step 6: Final answer
    x = 1,007.97

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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.