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Finding the Fourth Proportional to 1,099.83, 1,648.31 and 450.21

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Solution

The fourth proportional to 1,099.83, 1,648.31 and 450.21 is: 674.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.83 : 1,648.31 = 450.21 : x
  2. Step 2: Convert to fraction form
    1,099.83/1,648.31 = 450.21/x
  3. Step 3: Cross multiply
    1,099.83x = 1,648.31 × 450.21
  4. Step 4: Simplify right side
    1,099.83x = 742,083.39
  5. Step 5: Solve for x
    x = 742,083.39/1,099.83
  6. Step 6: Final answer
    x = 674.73

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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.