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Finding the Fourth Proportional to 695.92, 960.50 and 447.54

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Solution

The fourth proportional to 695.92, 960.50 and 447.54 is: 617.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.92 : 960.50 = 447.54 : x
  2. Step 2: Convert to fraction form
    695.92/960.50 = 447.54/x
  3. Step 3: Cross multiply
    695.92x = 960.50 × 447.54
  4. Step 4: Simplify right side
    695.92x = 429,862.17
  5. Step 5: Solve for x
    x = 429,862.17/695.92
  6. Step 6: Final answer
    x = 617.69

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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.