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Finding the Fourth Proportional to 1,605.48, 2,408.58 and 509.82

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Solution

The fourth proportional to 1,605.48, 2,408.58 and 509.82 is: 764.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.48 : 2,408.58 = 509.82 : x
  2. Step 2: Convert to fraction form
    1,605.48/2,408.58 = 509.82/x
  3. Step 3: Cross multiply
    1,605.48x = 2,408.58 × 509.82
  4. Step 4: Simplify right side
    1,605.48x = 1,227,942.26
  5. Step 5: Solve for x
    x = 1,227,942.26/1,605.48
  6. Step 6: Final answer
    x = 764.84

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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.