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Finding the Fourth Proportional to 1,097.69, 1,645.05 and 550.27

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Solution

The fourth proportional to 1,097.69, 1,645.05 and 550.27 is: 824.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.69 : 1,645.05 = 550.27 : x
  2. Step 2: Convert to fraction form
    1,097.69/1,645.05 = 550.27/x
  3. Step 3: Cross multiply
    1,097.69x = 1,645.05 × 550.27
  4. Step 4: Simplify right side
    1,097.69x = 905,217.55
  5. Step 5: Solve for x
    x = 905,217.55/1,097.69
  6. Step 6: Final answer
    x = 824.65

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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.