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Finding the Fourth Proportional to 1,605.31, 2,408.76 and 728.44

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Solution

The fourth proportional to 1,605.31, 2,408.76 and 728.44 is: 1,093.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.31 : 2,408.76 = 728.44 : x
  2. Step 2: Convert to fraction form
    1,605.31/2,408.76 = 728.44/x
  3. Step 3: Cross multiply
    1,605.31x = 2,408.76 × 728.44
  4. Step 4: Simplify right side
    1,605.31x = 1,754,637.13
  5. Step 5: Solve for x
    x = 1,754,637.13/1,605.31
  6. Step 6: Final answer
    x = 1,093.02

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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.