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Finding the Fourth Proportional to 2,965.03, 4,447.44 and 773.71

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Solution

The fourth proportional to 2,965.03, 4,447.44 and 773.71 is: 1,160.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.03 : 4,447.44 = 773.71 : x
  2. Step 2: Convert to fraction form
    2,965.03/4,447.44 = 773.71/x
  3. Step 3: Cross multiply
    2,965.03x = 4,447.44 × 773.71
  4. Step 4: Simplify right side
    2,965.03x = 3,441,028.80
  5. Step 5: Solve for x
    x = 3,441,028.80/2,965.03
  6. Step 6: Final answer
    x = 1,160.54

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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.