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Finding the Fourth Proportional to 996.77, 1,375.65 and 577.12

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Solution

The fourth proportional to 996.77, 1,375.65 and 577.12 is: 796.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.77 : 1,375.65 = 577.12 : x
  2. Step 2: Convert to fraction form
    996.77/1,375.65 = 577.12/x
  3. Step 3: Cross multiply
    996.77x = 1,375.65 × 577.12
  4. Step 4: Simplify right side
    996.77x = 793,911.41
  5. Step 5: Solve for x
    x = 793,911.41/996.77
  6. Step 6: Final answer
    x = 796.48

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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.