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Finding the Fourth Proportional to 695.73, 964.50 and 658.74

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Solution

The fourth proportional to 695.73, 964.50 and 658.74 is: 913.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.73 : 964.50 = 658.74 : x
  2. Step 2: Convert to fraction form
    695.73/964.50 = 658.74/x
  3. Step 3: Cross multiply
    695.73x = 964.50 × 658.74
  4. Step 4: Simplify right side
    695.73x = 635,346.61
  5. Step 5: Solve for x
    x = 635,346.61/695.73
  6. Step 6: Final answer
    x = 913.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.