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Finding the Fourth Proportional to 792.06, 1,182.19 and 699.80

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Solution

The fourth proportional to 792.06, 1,182.19 and 699.80 is: 1,044.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.06 : 1,182.19 = 699.80 : x
  2. Step 2: Convert to fraction form
    792.06/1,182.19 = 699.80/x
  3. Step 3: Cross multiply
    792.06x = 1,182.19 × 699.80
  4. Step 4: Simplify right side
    792.06x = 827,296.56
  5. Step 5: Solve for x
    x = 827,296.56/792.06
  6. Step 6: Final answer
    x = 1,044.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.