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Finding the Fourth Proportional to 1,074.49, 1,611.21 and 449.67

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Solution

The fourth proportional to 1,074.49, 1,611.21 and 449.67 is: 674.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.49 : 1,611.21 = 449.67 : x
  2. Step 2: Convert to fraction form
    1,074.49/1,611.21 = 449.67/x
  3. Step 3: Cross multiply
    1,074.49x = 1,611.21 × 449.67
  4. Step 4: Simplify right side
    1,074.49x = 724,512.80
  5. Step 5: Solve for x
    x = 724,512.80/1,074.49
  6. Step 6: Final answer
    x = 674.29

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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.