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Finding the Fourth Proportional to 664.82, 913.47 and 622.16

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Solution

The fourth proportional to 664.82, 913.47 and 622.16 is: 854.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.82 : 913.47 = 622.16 : x
  2. Step 2: Convert to fraction form
    664.82/913.47 = 622.16/x
  3. Step 3: Cross multiply
    664.82x = 913.47 × 622.16
  4. Step 4: Simplify right side
    664.82x = 568,319.93
  5. Step 5: Solve for x
    x = 568,319.93/664.82
  6. Step 6: Final answer
    x = 854.85

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.