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Finding the Fourth Proportional to 1,180.97, 1,629.76 and 649.88

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Solution

The fourth proportional to 1,180.97, 1,629.76 and 649.88 is: 896.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.97 : 1,629.76 = 649.88 : x
  2. Step 2: Convert to fraction form
    1,180.97/1,629.76 = 649.88/x
  3. Step 3: Cross multiply
    1,180.97x = 1,629.76 × 649.88
  4. Step 4: Simplify right side
    1,180.97x = 1,059,138.66
  5. Step 5: Solve for x
    x = 1,059,138.66/1,180.97
  6. Step 6: Final answer
    x = 896.84

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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.