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Finding the Fourth Proportional to 699.27, 965.67 and 633.66

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Solution

The fourth proportional to 699.27, 965.67 and 633.66 is: 875.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.27 : 965.67 = 633.66 : x
  2. Step 2: Convert to fraction form
    699.27/965.67 = 633.66/x
  3. Step 3: Cross multiply
    699.27x = 965.67 × 633.66
  4. Step 4: Simplify right side
    699.27x = 611,906.45
  5. Step 5: Solve for x
    x = 611,906.45/699.27
  6. Step 6: Final answer
    x = 875.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.