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Finding the Fourth Proportional to 697.82, 961.67 and 500.99

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Solution

The fourth proportional to 697.82, 961.67 and 500.99 is: 690.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.82 : 961.67 = 500.99 : x
  2. Step 2: Convert to fraction form
    697.82/961.67 = 500.99/x
  3. Step 3: Cross multiply
    697.82x = 961.67 × 500.99
  4. Step 4: Simplify right side
    697.82x = 481,787.05
  5. Step 5: Solve for x
    x = 481,787.05/697.82
  6. Step 6: Final answer
    x = 690.42

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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.