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Finding the Fourth Proportional to 1,189.22, 1,641.70 and 791.55

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Solution

The fourth proportional to 1,189.22, 1,641.70 and 791.55 is: 1,092.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.22 : 1,641.70 = 791.55 : x
  2. Step 2: Convert to fraction form
    1,189.22/1,641.70 = 791.55/x
  3. Step 3: Cross multiply
    1,189.22x = 1,641.70 × 791.55
  4. Step 4: Simplify right side
    1,189.22x = 1,299,484.01
  5. Step 5: Solve for x
    x = 1,299,484.01/1,189.22
  6. Step 6: Final answer
    x = 1,092.72

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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.