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Finding the Fourth Proportional to 1,745.20, 2,408.52 and 959.39

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Solution

The fourth proportional to 1,745.20, 2,408.52 and 959.39 is: 1,324.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.20 : 2,408.52 = 959.39 : x
  2. Step 2: Convert to fraction form
    1,745.20/2,408.52 = 959.39/x
  3. Step 3: Cross multiply
    1,745.20x = 2,408.52 × 959.39
  4. Step 4: Simplify right side
    1,745.20x = 2,310,718.74
  5. Step 5: Solve for x
    x = 2,310,718.74/1,745.20
  6. Step 6: Final answer
    x = 1,324.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.