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Finding the Fourth Proportional to 801.29, 1,196.09 and 742.70

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Solution

The fourth proportional to 801.29, 1,196.09 and 742.70 is: 1,108.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.29 : 1,196.09 = 742.70 : x
  2. Step 2: Convert to fraction form
    801.29/1,196.09 = 742.70/x
  3. Step 3: Cross multiply
    801.29x = 1,196.09 × 742.70
  4. Step 4: Simplify right side
    801.29x = 888,326.35
  5. Step 5: Solve for x
    x = 888,326.35/801.29
  6. Step 6: Final answer
    x = 1,108.63

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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.