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Finding the Fourth Proportional to 996.36, 1,375.05 and 648.06

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Solution

The fourth proportional to 996.36, 1,375.05 and 648.06 is: 894.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.36 : 1,375.05 = 648.06 : x
  2. Step 2: Convert to fraction form
    996.36/1,375.05 = 648.06/x
  3. Step 3: Cross multiply
    996.36x = 1,375.05 × 648.06
  4. Step 4: Simplify right side
    996.36x = 891,114.90
  5. Step 5: Solve for x
    x = 891,114.90/996.36
  6. Step 6: Final answer
    x = 894.37

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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.