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Finding the Fourth Proportional to 802.27, 1,109.10 and 769.78

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Solution

The fourth proportional to 802.27, 1,109.10 and 769.78 is: 1,064.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.27 : 1,109.10 = 769.78 : x
  2. Step 2: Convert to fraction form
    802.27/1,109.10 = 769.78/x
  3. Step 3: Cross multiply
    802.27x = 1,109.10 × 769.78
  4. Step 4: Simplify right side
    802.27x = 853,763.00
  5. Step 5: Solve for x
    x = 853,763.00/802.27
  6. Step 6: Final answer
    x = 1,064.18

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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.