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Finding the Fourth Proportional to 1,098.10, 1,647.26 and 448.68

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Solution

The fourth proportional to 1,098.10, 1,647.26 and 448.68 is: 673.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.10 : 1,647.26 = 448.68 : x
  2. Step 2: Convert to fraction form
    1,098.10/1,647.26 = 448.68/x
  3. Step 3: Cross multiply
    1,098.10x = 1,647.26 × 448.68
  4. Step 4: Simplify right side
    1,098.10x = 739,092.62
  5. Step 5: Solve for x
    x = 739,092.62/1,098.10
  6. Step 6: Final answer
    x = 673.06

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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.