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Finding the Fourth Proportional to 1,605.83, 2,408.38 and 509.99

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Solution

The fourth proportional to 1,605.83, 2,408.38 and 509.99 is: 764.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.83 : 2,408.38 = 509.99 : x
  2. Step 2: Convert to fraction form
    1,605.83/2,408.38 = 509.99/x
  3. Step 3: Cross multiply
    1,605.83x = 2,408.38 × 509.99
  4. Step 4: Simplify right side
    1,605.83x = 1,228,249.72
  5. Step 5: Solve for x
    x = 1,228,249.72/1,605.83
  6. Step 6: Final answer
    x = 764.87

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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.