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Finding the Fourth Proportional to 1,097.98, 1,646.98 and 448.54

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Solution

The fourth proportional to 1,097.98, 1,646.98 and 448.54 is: 672.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.98 : 1,646.98 = 448.54 : x
  2. Step 2: Convert to fraction form
    1,097.98/1,646.98 = 448.54/x
  3. Step 3: Cross multiply
    1,097.98x = 1,646.98 × 448.54
  4. Step 4: Simplify right side
    1,097.98x = 738,736.41
  5. Step 5: Solve for x
    x = 738,736.41/1,097.98
  6. Step 6: Final answer
    x = 672.81

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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.