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Finding the Fourth Proportional to 1,195.97, 1,650.98 and 698.42

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Solution

The fourth proportional to 1,195.97, 1,650.98 and 698.42 is: 964.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.97 : 1,650.98 = 698.42 : x
  2. Step 2: Convert to fraction form
    1,195.97/1,650.98 = 698.42/x
  3. Step 3: Cross multiply
    1,195.97x = 1,650.98 × 698.42
  4. Step 4: Simplify right side
    1,195.97x = 1,153,083.33
  5. Step 5: Solve for x
    x = 1,153,083.33/1,195.97
  6. Step 6: Final answer
    x = 964.14

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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.