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Finding the Fourth Proportional to 1,163.58, 1,746.06 and 433.68

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Solution

The fourth proportional to 1,163.58, 1,746.06 and 433.68 is: 650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.58 : 1,746.06 = 433.68 : x
  2. Step 2: Convert to fraction form
    1,163.58/1,746.06 = 433.68/x
  3. Step 3: Cross multiply
    1,163.58x = 1,746.06 × 433.68
  4. Step 4: Simplify right side
    1,163.58x = 757,231.30
  5. Step 5: Solve for x
    x = 757,231.30/1,163.58
  6. Step 6: Final answer
    x = 650.78

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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.