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Finding the Fourth Proportional to 1,097.81, 1,646.09 and 447.78

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Solution

The fourth proportional to 1,097.81, 1,646.09 and 447.78 is: 671.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.81 : 1,646.09 = 447.78 : x
  2. Step 2: Convert to fraction form
    1,097.81/1,646.09 = 447.78/x
  3. Step 3: Cross multiply
    1,097.81x = 1,646.09 × 447.78
  4. Step 4: Simplify right side
    1,097.81x = 737,083.94
  5. Step 5: Solve for x
    x = 737,083.94/1,097.81
  6. Step 6: Final answer
    x = 671.42

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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.