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Finding the Fourth Proportional to 939.97, 1,297.03 and 541.57

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Solution

The fourth proportional to 939.97, 1,297.03 and 541.57 is: 747.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.97 : 1,297.03 = 541.57 : x
  2. Step 2: Convert to fraction form
    939.97/1,297.03 = 541.57/x
  3. Step 3: Cross multiply
    939.97x = 1,297.03 × 541.57
  4. Step 4: Simplify right side
    939.97x = 702,432.54
  5. Step 5: Solve for x
    x = 702,432.54/939.97
  6. Step 6: Final answer
    x = 747.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.