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Finding the Fourth Proportional to 697.06, 961.84 and 461.49

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Solution

The fourth proportional to 697.06, 961.84 and 461.49 is: 636.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.06 : 961.84 = 461.49 : x
  2. Step 2: Convert to fraction form
    697.06/961.84 = 461.49/x
  3. Step 3: Cross multiply
    697.06x = 961.84 × 461.49
  4. Step 4: Simplify right side
    697.06x = 443,879.54
  5. Step 5: Solve for x
    x = 443,879.54/697.06
  6. Step 6: Final answer
    x = 636.79

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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.