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Finding the Fourth Proportional to 1,609.88, 2,414.81 and 455.63

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Solution

The fourth proportional to 1,609.88, 2,414.81 and 455.63 is: 683.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.88 : 2,414.81 = 455.63 : x
  2. Step 2: Convert to fraction form
    1,609.88/2,414.81 = 455.63/x
  3. Step 3: Cross multiply
    1,609.88x = 2,414.81 × 455.63
  4. Step 4: Simplify right side
    1,609.88x = 1,100,248.95
  5. Step 5: Solve for x
    x = 1,100,248.95/1,609.88
  6. Step 6: Final answer
    x = 683.44

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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.