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Finding the Fourth Proportional to 996.17, 1,375.10 and 664.47

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Solution

The fourth proportional to 996.17, 1,375.10 and 664.47 is: 917.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.17 : 1,375.10 = 664.47 : x
  2. Step 2: Convert to fraction form
    996.17/1,375.10 = 664.47/x
  3. Step 3: Cross multiply
    996.17x = 1,375.10 × 664.47
  4. Step 4: Simplify right side
    996.17x = 913,709.37
  5. Step 5: Solve for x
    x = 913,709.37/996.17
  6. Step 6: Final answer
    x = 917.23

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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.