Home / 1,163.12-1,743.42-546.44

Finding the Fourth Proportional to 1,163.12, 1,743.42 and 546.44

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Solution

The fourth proportional to 1,163.12, 1,743.42 and 546.44 is: 819.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.12 : 1,743.42 = 546.44 : x
  2. Step 2: Convert to fraction form
    1,163.12/1,743.42 = 546.44/x
  3. Step 3: Cross multiply
    1,163.12x = 1,743.42 × 546.44
  4. Step 4: Simplify right side
    1,163.12x = 952,674.42
  5. Step 5: Solve for x
    x = 952,674.42/1,163.12
  6. Step 6: Final answer
    x = 819.07

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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.