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Finding the Fourth Proportional to 792.22, 1,092.64 and 512.48

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Solution

The fourth proportional to 792.22, 1,092.64 and 512.48 is: 706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.22 : 1,092.64 = 512.48 : x
  2. Step 2: Convert to fraction form
    792.22/1,092.64 = 512.48/x
  3. Step 3: Cross multiply
    792.22x = 1,092.64 × 512.48
  4. Step 4: Simplify right side
    792.22x = 559,957.60
  5. Step 5: Solve for x
    x = 559,957.60/792.22
  6. Step 6: Final answer
    x = 706.82

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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.