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Finding the Fourth Proportional to 664.90, 995.80 and 641.83

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Solution

The fourth proportional to 664.90, 995.80 and 641.83 is: 961.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.90 : 995.80 = 641.83 : x
  2. Step 2: Convert to fraction form
    664.90/995.80 = 641.83/x
  3. Step 3: Cross multiply
    664.90x = 995.80 × 641.83
  4. Step 4: Simplify right side
    664.90x = 639,134.31
  5. Step 5: Solve for x
    x = 639,134.31/664.90
  6. Step 6: Final answer
    x = 961.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.