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Finding the Fourth Proportional to 996.93, 1,375.82 and 598.66

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Solution

The fourth proportional to 996.93, 1,375.82 and 598.66 is: 826.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.93 : 1,375.82 = 598.66 : x
  2. Step 2: Convert to fraction form
    996.93/1,375.82 = 598.66/x
  3. Step 3: Cross multiply
    996.93x = 1,375.82 × 598.66
  4. Step 4: Simplify right side
    996.93x = 823,645.41
  5. Step 5: Solve for x
    x = 823,645.41/996.93
  6. Step 6: Final answer
    x = 826.19

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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.