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Finding the Fourth Proportional to 1,198.31, 1,653.81 and 756.20

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Solution

The fourth proportional to 1,198.31, 1,653.81 and 756.20 is: 1,043.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.31 : 1,653.81 = 756.20 : x
  2. Step 2: Convert to fraction form
    1,198.31/1,653.81 = 756.20/x
  3. Step 3: Cross multiply
    1,198.31x = 1,653.81 × 756.20
  4. Step 4: Simplify right side
    1,198.31x = 1,250,611.12
  5. Step 5: Solve for x
    x = 1,250,611.12/1,198.31
  6. Step 6: Final answer
    x = 1,043.65

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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.