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Finding the Fourth Proportional to 3,190.65, 4,785.59 and 850.83

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Solution

The fourth proportional to 3,190.65, 4,785.59 and 850.83 is: 1,276.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.65 : 4,785.59 = 850.83 : x
  2. Step 2: Convert to fraction form
    3,190.65/4,785.59 = 850.83/x
  3. Step 3: Cross multiply
    3,190.65x = 4,785.59 × 850.83
  4. Step 4: Simplify right side
    3,190.65x = 4,071,697.48
  5. Step 5: Solve for x
    x = 4,071,697.48/3,190.65
  6. Step 6: Final answer
    x = 1,276.14

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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.