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Finding the Fourth Proportional to 1,198.30, 1,653.69 and 674.20

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Solution

The fourth proportional to 1,198.30, 1,653.69 and 674.20 is: 930.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.30 : 1,653.69 = 674.20 : x
  2. Step 2: Convert to fraction form
    1,198.30/1,653.69 = 674.20/x
  3. Step 3: Cross multiply
    1,198.30x = 1,653.69 × 674.20
  4. Step 4: Simplify right side
    1,198.30x = 1,114,917.80
  5. Step 5: Solve for x
    x = 1,114,917.80/1,198.30
  6. Step 6: Final answer
    x = 930.42

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1.5x scale

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.