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Finding the Fourth Proportional to 791.46, 1,092.40 and 512

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Solution

The fourth proportional to 791.46, 1,092.40 and 512 is: 706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.46 : 1,092.40 = 512 : x
  2. Step 2: Convert to fraction form
    791.46/1,092.40 = 512/x
  3. Step 3: Cross multiply
    791.46x = 1,092.40 × 512
  4. Step 4: Simplify right side
    791.46x = 559,308.80
  5. Step 5: Solve for x
    x = 559,308.80/791.46
  6. Step 6: Final answer
    x = 706.68

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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.