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Finding the Fourth Proportional to 1,180.22, 1,629.02 and 737.86

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Solution

The fourth proportional to 1,180.22, 1,629.02 and 737.86 is: 1,018.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.22 : 1,629.02 = 737.86 : x
  2. Step 2: Convert to fraction form
    1,180.22/1,629.02 = 737.86/x
  3. Step 3: Cross multiply
    1,180.22x = 1,629.02 × 737.86
  4. Step 4: Simplify right side
    1,180.22x = 1,201,988.70
  5. Step 5: Solve for x
    x = 1,201,988.70/1,180.22
  6. Step 6: Final answer
    x = 1,018.44

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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.