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Finding the Fourth Proportional to 1,163.62, 1,606.10 and 721.27

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Solution

The fourth proportional to 1,163.62, 1,606.10 and 721.27 is: 995.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.62 : 1,606.10 = 721.27 : x
  2. Step 2: Convert to fraction form
    1,163.62/1,606.10 = 721.27/x
  3. Step 3: Cross multiply
    1,163.62x = 1,606.10 × 721.27
  4. Step 4: Simplify right side
    1,163.62x = 1,158,431.75
  5. Step 5: Solve for x
    x = 1,158,431.75/1,163.62
  6. Step 6: Final answer
    x = 995.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.