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Finding the Fourth Proportional to 1,609.45, 2,414.19 and 455.20

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Solution

The fourth proportional to 1,609.45, 2,414.19 and 455.20 is: 682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.45 : 2,414.19 = 455.20 : x
  2. Step 2: Convert to fraction form
    1,609.45/2,414.19 = 455.20/x
  3. Step 3: Cross multiply
    1,609.45x = 2,414.19 × 455.20
  4. Step 4: Simplify right side
    1,609.45x = 1,098,934.96
  5. Step 5: Solve for x
    x = 1,098,934.96/1,609.45
  6. Step 6: Final answer
    x = 682.80

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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.