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Finding the Fourth Proportional to 1,605.57, 2,408.33 and 494.98

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Solution

The fourth proportional to 1,605.57, 2,408.33 and 494.98 is: 742.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.57 : 2,408.33 = 494.98 : x
  2. Step 2: Convert to fraction form
    1,605.57/2,408.33 = 494.98/x
  3. Step 3: Cross multiply
    1,605.57x = 2,408.33 × 494.98
  4. Step 4: Simplify right side
    1,605.57x = 1,192,070.40
  5. Step 5: Solve for x
    x = 1,192,070.40/1,605.57
  6. Step 6: Final answer
    x = 742.46

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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.