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Finding the Fourth Proportional to 1,163.24, 1,742.74 and 772.30

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Solution

The fourth proportional to 1,163.24, 1,742.74 and 772.30 is: 1,157.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.24 : 1,742.74 = 772.30 : x
  2. Step 2: Convert to fraction form
    1,163.24/1,742.74 = 772.30/x
  3. Step 3: Cross multiply
    1,163.24x = 1,742.74 × 772.30
  4. Step 4: Simplify right side
    1,163.24x = 1,345,918.10
  5. Step 5: Solve for x
    x = 1,345,918.10/1,163.24
  6. Step 6: Final answer
    x = 1,157.04

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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.