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Finding the Fourth Proportional to 792.13, 1,092.75 and 512.61

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Solution

The fourth proportional to 792.13, 1,092.75 and 512.61 is: 707.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.13 : 1,092.75 = 512.61 : x
  2. Step 2: Convert to fraction form
    792.13/1,092.75 = 512.61/x
  3. Step 3: Cross multiply
    792.13x = 1,092.75 × 512.61
  4. Step 4: Simplify right side
    792.13x = 560,154.58
  5. Step 5: Solve for x
    x = 560,154.58/792.13
  6. Step 6: Final answer
    x = 707.15

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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.