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Finding the Fourth Proportional to 1,421.22, 1,961.24 and 791.75

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Solution

The fourth proportional to 1,421.22, 1,961.24 and 791.75 is: 1,092.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.22 : 1,961.24 = 791.75 : x
  2. Step 2: Convert to fraction form
    1,421.22/1,961.24 = 791.75/x
  3. Step 3: Cross multiply
    1,421.22x = 1,961.24 × 791.75
  4. Step 4: Simplify right side
    1,421.22x = 1,552,811.77
  5. Step 5: Solve for x
    x = 1,552,811.77/1,421.22
  6. Step 6: Final answer
    x = 1,092.59

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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.