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Finding the Fourth Proportional to 4,660.77, 6,991.16 and 1,197.75

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Solution

The fourth proportional to 4,660.77, 6,991.16 and 1,197.75 is: 1,796.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.77 : 6,991.16 = 1,197.75 : x
  2. Step 2: Convert to fraction form
    4,660.77/6,991.16 = 1,197.75/x
  3. Step 3: Cross multiply
    4,660.77x = 6,991.16 × 1,197.75
  4. Step 4: Simplify right side
    4,660.77x = 8,373,655.90
  5. Step 5: Solve for x
    x = 8,373,655.90/4,660.77
  6. Step 6: Final answer
    x = 1,796.63

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Similar ratio
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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.