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Finding the Fourth Proportional to 1,605.84, 2,408.64 and 451.44

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Solution

The fourth proportional to 1,605.84, 2,408.64 and 451.44 is: 677.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.84 : 2,408.64 = 451.44 : x
  2. Step 2: Convert to fraction form
    1,605.84/2,408.64 = 451.44/x
  3. Step 3: Cross multiply
    1,605.84x = 2,408.64 × 451.44
  4. Step 4: Simplify right side
    1,605.84x = 1,087,356.44
  5. Step 5: Solve for x
    x = 1,087,356.44/1,605.84
  6. Step 6: Final answer
    x = 677.13

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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.