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Finding the Fourth Proportional to 1,679.43, 2,519.48 and 509.49

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Solution

The fourth proportional to 1,679.43, 2,519.48 and 509.49 is: 764.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.43 : 2,519.48 = 509.49 : x
  2. Step 2: Convert to fraction form
    1,679.43/2,519.48 = 509.49/x
  3. Step 3: Cross multiply
    1,679.43x = 2,519.48 × 509.49
  4. Step 4: Simplify right side
    1,679.43x = 1,283,649.87
  5. Step 5: Solve for x
    x = 1,283,649.87/1,679.43
  6. Step 6: Final answer
    x = 764.34

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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.