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Finding the Fourth Proportional to 1,097.97, 1,646.91 and 448.69

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Solution

The fourth proportional to 1,097.97, 1,646.91 and 448.69 is: 673.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.97 : 1,646.91 = 448.69 : x
  2. Step 2: Convert to fraction form
    1,097.97/1,646.91 = 448.69/x
  3. Step 3: Cross multiply
    1,097.97x = 1,646.91 × 448.69
  4. Step 4: Simplify right side
    1,097.97x = 738,947.93
  5. Step 5: Solve for x
    x = 738,947.93/1,097.97
  6. Step 6: Final answer
    x = 673.01

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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.