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Finding the Fourth Proportional to 722.25, 1,082.61 and 331.97

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Solution

The fourth proportional to 722.25, 1,082.61 and 331.97 is: 497.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.25 : 1,082.61 = 331.97 : x
  2. Step 2: Convert to fraction form
    722.25/1,082.61 = 331.97/x
  3. Step 3: Cross multiply
    722.25x = 1,082.61 × 331.97
  4. Step 4: Simplify right side
    722.25x = 359,388.63
  5. Step 5: Solve for x
    x = 359,388.63/722.25
  6. Step 6: Final answer
    x = 497.60

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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.