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Finding the Fourth Proportional to 754.36, 1,040.97 and 418.24

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Solution

The fourth proportional to 754.36, 1,040.97 and 418.24 is: 577.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.36 : 1,040.97 = 418.24 : x
  2. Step 2: Convert to fraction form
    754.36/1,040.97 = 418.24/x
  3. Step 3: Cross multiply
    754.36x = 1,040.97 × 418.24
  4. Step 4: Simplify right side
    754.36x = 435,375.29
  5. Step 5: Solve for x
    x = 435,375.29/754.36
  6. Step 6: Final answer
    x = 577.15

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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.