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Finding the Fourth Proportional to 1,609.97, 2,414.84 and 514.23

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Solution

The fourth proportional to 1,609.97, 2,414.84 and 514.23 is: 771.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.97 : 2,414.84 = 514.23 : x
  2. Step 2: Convert to fraction form
    1,609.97/2,414.84 = 514.23/x
  3. Step 3: Cross multiply
    1,609.97x = 2,414.84 × 514.23
  4. Step 4: Simplify right side
    1,609.97x = 1,241,780.60
  5. Step 5: Solve for x
    x = 1,241,780.60/1,609.97
  6. Step 6: Final answer
    x = 771.31

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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.