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Finding the Fourth Proportional to 754.22, 1,040.82 and 492.23

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Solution

The fourth proportional to 754.22, 1,040.82 and 492.23 is: 679.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.22 : 1,040.82 = 492.23 : x
  2. Step 2: Convert to fraction form
    754.22/1,040.82 = 492.23/x
  3. Step 3: Cross multiply
    754.22x = 1,040.82 × 492.23
  4. Step 4: Simplify right side
    754.22x = 512,325.43
  5. Step 5: Solve for x
    x = 512,325.43/754.22
  6. Step 6: Final answer
    x = 679.28

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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.