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Finding the Fourth Proportional to 1,605.38, 2,408.20 and 509.44

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Solution

The fourth proportional to 1,605.38, 2,408.20 and 509.44 is: 764.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.38 : 2,408.20 = 509.44 : x
  2. Step 2: Convert to fraction form
    1,605.38/2,408.20 = 509.44/x
  3. Step 3: Cross multiply
    1,605.38x = 2,408.20 × 509.44
  4. Step 4: Simplify right side
    1,605.38x = 1,226,833.41
  5. Step 5: Solve for x
    x = 1,226,833.41/1,605.38
  6. Step 6: Final answer
    x = 764.20

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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.