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Finding the Fourth Proportional to 3,190.39, 4,785.96 and 850.50

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Solution

The fourth proportional to 3,190.39, 4,785.96 and 850.50 is: 1,275.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.39 : 4,785.96 = 850.50 : x
  2. Step 2: Convert to fraction form
    3,190.39/4,785.96 = 850.50/x
  3. Step 3: Cross multiply
    3,190.39x = 4,785.96 × 850.50
  4. Step 4: Simplify right side
    3,190.39x = 4,070,458.98
  5. Step 5: Solve for x
    x = 4,070,458.98/3,190.39
  6. Step 6: Final answer
    x = 1,275.85

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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.