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Finding the Fourth Proportional to 996.81, 1,375.25 and 598.47

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Solution

The fourth proportional to 996.81, 1,375.25 and 598.47 is: 825.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.81 : 1,375.25 = 598.47 : x
  2. Step 2: Convert to fraction form
    996.81/1,375.25 = 598.47/x
  3. Step 3: Cross multiply
    996.81x = 1,375.25 × 598.47
  4. Step 4: Simplify right side
    996.81x = 823,042.88
  5. Step 5: Solve for x
    x = 823,042.88/996.81
  6. Step 6: Final answer
    x = 825.68

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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.