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Finding the Fourth Proportional to 1,097.11, 1,640.66 and 819.66

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Solution

The fourth proportional to 1,097.11, 1,640.66 and 819.66 is: 1,225.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.11 : 1,640.66 = 819.66 : x
  2. Step 2: Convert to fraction form
    1,097.11/1,640.66 = 819.66/x
  3. Step 3: Cross multiply
    1,097.11x = 1,640.66 × 819.66
  4. Step 4: Simplify right side
    1,097.11x = 1,344,771.07
  5. Step 5: Solve for x
    x = 1,344,771.07/1,097.11
  6. Step 6: Final answer
    x = 1,225.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.