Home / 1,163.09-1,743.79-546.48

Finding the Fourth Proportional to 1,163.09, 1,743.79 and 546.48

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Solution

The fourth proportional to 1,163.09, 1,743.79 and 546.48 is: 819.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.09 : 1,743.79 = 546.48 : x
  2. Step 2: Convert to fraction form
    1,163.09/1,743.79 = 546.48/x
  3. Step 3: Cross multiply
    1,163.09x = 1,743.79 × 546.48
  4. Step 4: Simplify right side
    1,163.09x = 952,946.36
  5. Step 5: Solve for x
    x = 952,946.36/1,163.09
  6. Step 6: Final answer
    x = 819.32

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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.