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Finding the Fourth Proportional to 791.34, 1,092.42 and 594.92

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Solution

The fourth proportional to 791.34, 1,092.42 and 594.92 is: 821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.34 : 1,092.42 = 594.92 : x
  2. Step 2: Convert to fraction form
    791.34/1,092.42 = 594.92/x
  3. Step 3: Cross multiply
    791.34x = 1,092.42 × 594.92
  4. Step 4: Simplify right side
    791.34x = 649,902.51
  5. Step 5: Solve for x
    x = 649,902.51/791.34
  6. Step 6: Final answer
    x = 821.27

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1.5x scale

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.