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Finding the Fourth Proportional to 1,195.98, 1,650.27 and 671.97

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Solution

The fourth proportional to 1,195.98, 1,650.27 and 671.97 is: 927.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.98 : 1,650.27 = 671.97 : x
  2. Step 2: Convert to fraction form
    1,195.98/1,650.27 = 671.97/x
  3. Step 3: Cross multiply
    1,195.98x = 1,650.27 × 671.97
  4. Step 4: Simplify right side
    1,195.98x = 1,108,931.93
  5. Step 5: Solve for x
    x = 1,108,931.93/1,195.98
  6. Step 6: Final answer
    x = 927.22

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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.