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Finding the Fourth Proportional to 1,604.14, 2,405.67 and 449.62

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Solution

The fourth proportional to 1,604.14, 2,405.67 and 449.62 is: 674.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.14 : 2,405.67 = 449.62 : x
  2. Step 2: Convert to fraction form
    1,604.14/2,405.67 = 449.62/x
  3. Step 3: Cross multiply
    1,604.14x = 2,405.67 × 449.62
  4. Step 4: Simplify right side
    1,604.14x = 1,081,637.35
  5. Step 5: Solve for x
    x = 1,081,637.35/1,604.14
  6. Step 6: Final answer
    x = 674.28

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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.