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Finding the Fourth Proportional to 1,097.67, 1,645.56 and 448.86

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Solution

The fourth proportional to 1,097.67, 1,645.56 and 448.86 is: 672.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.67 : 1,645.56 = 448.86 : x
  2. Step 2: Convert to fraction form
    1,097.67/1,645.56 = 448.86/x
  3. Step 3: Cross multiply
    1,097.67x = 1,645.56 × 448.86
  4. Step 4: Simplify right side
    1,097.67x = 738,626.06
  5. Step 5: Solve for x
    x = 738,626.06/1,097.67
  6. Step 6: Final answer
    x = 672.90

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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.