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Finding the Fourth Proportional to 3,305.89, 4,958.36 and 965.27

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Solution

The fourth proportional to 3,305.89, 4,958.36 and 965.27 is: 1,447.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.89 : 4,958.36 = 965.27 : x
  2. Step 2: Convert to fraction form
    3,305.89/4,958.36 = 965.27/x
  3. Step 3: Cross multiply
    3,305.89x = 4,958.36 × 965.27
  4. Step 4: Simplify right side
    3,305.89x = 4,786,167.35
  5. Step 5: Solve for x
    x = 4,786,167.35/3,305.89
  6. Step 6: Final answer
    x = 1,447.77

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1.5x scale

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.