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Finding the Fourth Proportional to 996.93, 1,375.68 and 598.79

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Solution

The fourth proportional to 996.93, 1,375.68 and 598.79 is: 826.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.93 : 1,375.68 = 598.79 : x
  2. Step 2: Convert to fraction form
    996.93/1,375.68 = 598.79/x
  3. Step 3: Cross multiply
    996.93x = 1,375.68 × 598.79
  4. Step 4: Simplify right side
    996.93x = 823,749.11
  5. Step 5: Solve for x
    x = 823,749.11/996.93
  6. Step 6: Final answer
    x = 826.28

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Why These Related Problems?

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