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Finding the Fourth Proportional to 996.75, 1,375.64 and 577.10

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Solution

The fourth proportional to 996.75, 1,375.64 and 577.10 is: 796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.75 : 1,375.64 = 577.10 : x
  2. Step 2: Convert to fraction form
    996.75/1,375.64 = 577.10/x
  3. Step 3: Cross multiply
    996.75x = 1,375.64 × 577.10
  4. Step 4: Simplify right side
    996.75x = 793,872.08
  5. Step 5: Solve for x
    x = 793,872.08/996.75
  6. Step 6: Final answer
    x = 796.46

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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.