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Finding the Fourth Proportional to 1,097.71, 1,646.87 and 448.90

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Solution

The fourth proportional to 1,097.71, 1,646.87 and 448.90 is: 673.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.71 : 1,646.87 = 448.90 : x
  2. Step 2: Convert to fraction form
    1,097.71/1,646.87 = 448.90/x
  3. Step 3: Cross multiply
    1,097.71x = 1,646.87 × 448.90
  4. Step 4: Simplify right side
    1,097.71x = 739,273.58
  5. Step 5: Solve for x
    x = 739,273.58/1,097.71
  6. Step 6: Final answer
    x = 673.47

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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.