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Finding the Fourth Proportional to 1,097.27, 1,645.94 and 447.55

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Solution

The fourth proportional to 1,097.27, 1,645.94 and 447.55 is: 671.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.27 : 1,645.94 = 447.55 : x
  2. Step 2: Convert to fraction form
    1,097.27/1,645.94 = 447.55/x
  3. Step 3: Cross multiply
    1,097.27x = 1,645.94 × 447.55
  4. Step 4: Simplify right side
    1,097.27x = 736,640.45
  5. Step 5: Solve for x
    x = 736,640.45/1,097.27
  6. Step 6: Final answer
    x = 671.34

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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.