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Finding the Fourth Proportional to 1,679.84, 2,519.24 and 509.80

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Solution

The fourth proportional to 1,679.84, 2,519.24 and 509.80 is: 764.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.84 : 2,519.24 = 509.80 : x
  2. Step 2: Convert to fraction form
    1,679.84/2,519.24 = 509.80/x
  3. Step 3: Cross multiply
    1,679.84x = 2,519.24 × 509.80
  4. Step 4: Simplify right side
    1,679.84x = 1,284,308.55
  5. Step 5: Solve for x
    x = 1,284,308.55/1,679.84
  6. Step 6: Final answer
    x = 764.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.