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Finding the Fourth Proportional to 871.77, 1,202.41 and 577.44

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Solution

The fourth proportional to 871.77, 1,202.41 and 577.44 is: 796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.77 : 1,202.41 = 577.44 : x
  2. Step 2: Convert to fraction form
    871.77/1,202.41 = 577.44/x
  3. Step 3: Cross multiply
    871.77x = 1,202.41 × 577.44
  4. Step 4: Simplify right side
    871.77x = 694,319.63
  5. Step 5: Solve for x
    x = 694,319.63/871.77
  6. Step 6: Final answer
    x = 796.45

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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.