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Finding the Fourth Proportional to 1,198.13, 1,653.26 and 700.41

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Solution

The fourth proportional to 1,198.13, 1,653.26 and 700.41 is: 966.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.13 : 1,653.26 = 700.41 : x
  2. Step 2: Convert to fraction form
    1,198.13/1,653.26 = 700.41/x
  3. Step 3: Cross multiply
    1,198.13x = 1,653.26 × 700.41
  4. Step 4: Simplify right side
    1,198.13x = 1,157,962.53
  5. Step 5: Solve for x
    x = 1,157,962.53/1,198.13
  6. Step 6: Final answer
    x = 966.48

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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.