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Finding the Fourth Proportional to 1,099.46, 1,647.74 and 449.84

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Solution

The fourth proportional to 1,099.46, 1,647.74 and 449.84 is: 674.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.46 : 1,647.74 = 449.84 : x
  2. Step 2: Convert to fraction form
    1,099.46/1,647.74 = 449.84/x
  3. Step 3: Cross multiply
    1,099.46x = 1,647.74 × 449.84
  4. Step 4: Simplify right side
    1,099.46x = 741,208.87
  5. Step 5: Solve for x
    x = 741,208.87/1,099.46
  6. Step 6: Final answer
    x = 674.16

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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.