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Finding the Fourth Proportional to 1,198, 1,653.06 and 674.02

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Solution

The fourth proportional to 1,198, 1,653.06 and 674.02 is: 930.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198 : 1,653.06 = 674.02 : x
  2. Step 2: Convert to fraction form
    1,198/1,653.06 = 674.02/x
  3. Step 3: Cross multiply
    1,198x = 1,653.06 × 674.02
  4. Step 4: Simplify right side
    1,198x = 1,114,195.50
  5. Step 5: Solve for x
    x = 1,114,195.50/1,198
  6. Step 6: Final answer
    x = 930.05

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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.