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Finding the Fourth Proportional to 1,609.49, 2,414.07 and 514.64

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Solution

The fourth proportional to 1,609.49, 2,414.07 and 514.64 is: 771.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.49 : 2,414.07 = 514.64 : x
  2. Step 2: Convert to fraction form
    1,609.49/2,414.07 = 514.64/x
  3. Step 3: Cross multiply
    1,609.49x = 2,414.07 × 514.64
  4. Step 4: Simplify right side
    1,609.49x = 1,242,364.91
  5. Step 5: Solve for x
    x = 1,242,364.91/1,609.49
  6. Step 6: Final answer
    x = 771.90

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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.