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Finding the Fourth Proportional to 722.25, 997.52 and 488.97

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Solution

The fourth proportional to 722.25, 997.52 and 488.97 is: 675.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.25 : 997.52 = 488.97 : x
  2. Step 2: Convert to fraction form
    722.25/997.52 = 488.97/x
  3. Step 3: Cross multiply
    722.25x = 997.52 × 488.97
  4. Step 4: Simplify right side
    722.25x = 487,754.91
  5. Step 5: Solve for x
    x = 487,754.91/722.25
  6. Step 6: Final answer
    x = 675.33

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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.