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Finding the Fourth Proportional to 791.84, 1,093.31 and 512.23

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Solution

The fourth proportional to 791.84, 1,093.31 and 512.23 is: 707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.84 : 1,093.31 = 512.23 : x
  2. Step 2: Convert to fraction form
    791.84/1,093.31 = 512.23/x
  3. Step 3: Cross multiply
    791.84x = 1,093.31 × 512.23
  4. Step 4: Simplify right side
    791.84x = 560,026.18
  5. Step 5: Solve for x
    x = 560,026.18/791.84
  6. Step 6: Final answer
    x = 707.25

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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.