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Finding the Fourth Proportional to 1,745.48, 2,408.77 and 959.58

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Solution

The fourth proportional to 1,745.48, 2,408.77 and 959.58 is: 1,324.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.48 : 2,408.77 = 959.58 : x
  2. Step 2: Convert to fraction form
    1,745.48/2,408.77 = 959.58/x
  3. Step 3: Cross multiply
    1,745.48x = 2,408.77 × 959.58
  4. Step 4: Simplify right side
    1,745.48x = 2,311,411.43
  5. Step 5: Solve for x
    x = 2,311,411.43/1,745.48
  6. Step 6: Final answer
    x = 1,324.22

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1.5x scale

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.