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Finding the Fourth Proportional to 796.82, 1,192.90 and 592.29

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Solution

The fourth proportional to 796.82, 1,192.90 and 592.29 is: 886.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.82 : 1,192.90 = 592.29 : x
  2. Step 2: Convert to fraction form
    796.82/1,192.90 = 592.29/x
  3. Step 3: Cross multiply
    796.82x = 1,192.90 × 592.29
  4. Step 4: Simplify right side
    796.82x = 706,542.74
  5. Step 5: Solve for x
    x = 706,542.74/796.82
  6. Step 6: Final answer
    x = 886.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.