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Finding the Fourth Proportional to 697.84, 963.48 and 422

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Solution

The fourth proportional to 697.84, 963.48 and 422 is: 582.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.84 : 963.48 = 422 : x
  2. Step 2: Convert to fraction form
    697.84/963.48 = 422/x
  3. Step 3: Cross multiply
    697.84x = 963.48 × 422
  4. Step 4: Simplify right side
    697.84x = 406,588.56
  5. Step 5: Solve for x
    x = 406,588.56/697.84
  6. Step 6: Final answer
    x = 582.64

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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.