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Finding the Fourth Proportional to 697.14, 963.09 and 610.74

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Solution

The fourth proportional to 697.14, 963.09 and 610.74 is: 843.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.14 : 963.09 = 610.74 : x
  2. Step 2: Convert to fraction form
    697.14/963.09 = 610.74/x
  3. Step 3: Cross multiply
    697.14x = 963.09 × 610.74
  4. Step 4: Simplify right side
    697.14x = 588,197.59
  5. Step 5: Solve for x
    x = 588,197.59/697.14
  6. Step 6: Final answer
    x = 843.73

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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.