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Finding the Fourth Proportional to 802.25, 1,097.57 and 798.78

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Solution

The fourth proportional to 802.25, 1,097.57 and 798.78 is: 1,092.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.25 : 1,097.57 = 798.78 : x
  2. Step 2: Convert to fraction form
    802.25/1,097.57 = 798.78/x
  3. Step 3: Cross multiply
    802.25x = 1,097.57 × 798.78
  4. Step 4: Simplify right side
    802.25x = 876,723.08
  5. Step 5: Solve for x
    x = 876,723.08/802.25
  6. Step 6: Final answer
    x = 1,092.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.