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Finding the Fourth Proportional to 1,198.42, 1,653.81 and 674.45

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Solution

The fourth proportional to 1,198.42, 1,653.81 and 674.45 is: 930.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.42 : 1,653.81 = 674.45 : x
  2. Step 2: Convert to fraction form
    1,198.42/1,653.81 = 674.45/x
  3. Step 3: Cross multiply
    1,198.42x = 1,653.81 × 674.45
  4. Step 4: Simplify right side
    1,198.42x = 1,115,403.89
  5. Step 5: Solve for x
    x = 1,115,403.89/1,198.42
  6. Step 6: Final answer
    x = 930.73

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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.