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Finding the Fourth Proportional to 791.34, 1,191.66 and 587.36

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Solution

The fourth proportional to 791.34, 1,191.66 and 587.36 is: 884.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.34 : 1,191.66 = 587.36 : x
  2. Step 2: Convert to fraction form
    791.34/1,191.66 = 587.36/x
  3. Step 3: Cross multiply
    791.34x = 1,191.66 × 587.36
  4. Step 4: Simplify right side
    791.34x = 699,933.42
  5. Step 5: Solve for x
    x = 699,933.42/791.34
  6. Step 6: Final answer
    x = 884.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.