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Finding the Fourth Proportional to 1,097.82, 1,646.91 and 448.38

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Solution

The fourth proportional to 1,097.82, 1,646.91 and 448.38 is: 672.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.82 : 1,646.91 = 448.38 : x
  2. Step 2: Convert to fraction form
    1,097.82/1,646.91 = 448.38/x
  3. Step 3: Cross multiply
    1,097.82x = 1,646.91 × 448.38
  4. Step 4: Simplify right side
    1,097.82x = 738,441.51
  5. Step 5: Solve for x
    x = 738,441.51/1,097.82
  6. Step 6: Final answer
    x = 672.64

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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.