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Finding the Fourth Proportional to 1,605.57, 2,408.55 and 451.32

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Solution

The fourth proportional to 1,605.57, 2,408.55 and 451.32 is: 677.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.57 : 2,408.55 = 451.32 : x
  2. Step 2: Convert to fraction form
    1,605.57/2,408.55 = 451.32/x
  3. Step 3: Cross multiply
    1,605.57x = 2,408.55 × 451.32
  4. Step 4: Simplify right side
    1,605.57x = 1,087,026.79
  5. Step 5: Solve for x
    x = 1,087,026.79/1,605.57
  6. Step 6: Final answer
    x = 677.03

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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.