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Finding the Fourth Proportional to 722.13, 997.73 and 694.78

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Solution

The fourth proportional to 722.13, 997.73 and 694.78 is: 959.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.13 : 997.73 = 694.78 : x
  2. Step 2: Convert to fraction form
    722.13/997.73 = 694.78/x
  3. Step 3: Cross multiply
    722.13x = 997.73 × 694.78
  4. Step 4: Simplify right side
    722.13x = 693,202.85
  5. Step 5: Solve for x
    x = 693,202.85/722.13
  6. Step 6: Final answer
    x = 959.94

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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.