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Finding the Fourth Proportional to 1,745.82, 2,408.94 and 959.76

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Solution

The fourth proportional to 1,745.82, 2,408.94 and 959.76 is: 1,324.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.82 : 2,408.94 = 959.76 : x
  2. Step 2: Convert to fraction form
    1,745.82/2,408.94 = 959.76/x
  3. Step 3: Cross multiply
    1,745.82x = 2,408.94 × 959.76
  4. Step 4: Simplify right side
    1,745.82x = 2,312,004.25
  5. Step 5: Solve for x
    x = 2,312,004.25/1,745.82
  6. Step 6: Final answer
    x = 1,324.31

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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.