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Finding the Fourth Proportional to 754.24, 1,040.85 and 492.25

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Solution

The fourth proportional to 754.24, 1,040.85 and 492.25 is: 679.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.24 : 1,040.85 = 492.25 : x
  2. Step 2: Convert to fraction form
    754.24/1,040.85 = 492.25/x
  3. Step 3: Cross multiply
    754.24x = 1,040.85 × 492.25
  4. Step 4: Simplify right side
    754.24x = 512,357.18
  5. Step 5: Solve for x
    x = 512,357.18/754.24
  6. Step 6: Final answer
    x = 679.31

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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.