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Finding the Fourth Proportional to 1,163.42, 1,606.47 and 791.18

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Solution

The fourth proportional to 1,163.42, 1,606.47 and 791.18 is: 1,092.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.42 : 1,606.47 = 791.18 : x
  2. Step 2: Convert to fraction form
    1,163.42/1,606.47 = 791.18/x
  3. Step 3: Cross multiply
    1,163.42x = 1,606.47 × 791.18
  4. Step 4: Simplify right side
    1,163.42x = 1,271,006.93
  5. Step 5: Solve for x
    x = 1,271,006.93/1,163.42
  6. Step 6: Final answer
    x = 1,092.47

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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.