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Finding the Fourth Proportional to 696.15, 961.01 and 447.61

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Solution

The fourth proportional to 696.15, 961.01 and 447.61 is: 617.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.15 : 961.01 = 447.61 : x
  2. Step 2: Convert to fraction form
    696.15/961.01 = 447.61/x
  3. Step 3: Cross multiply
    696.15x = 961.01 × 447.61
  4. Step 4: Simplify right side
    696.15x = 430,156.21
  5. Step 5: Solve for x
    x = 430,156.21/696.15
  6. Step 6: Final answer
    x = 617.91

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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.