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Finding the Fourth Proportional to 1,198.08, 1,653.12 and 693.92

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Solution

The fourth proportional to 1,198.08, 1,653.12 and 693.92 is: 957.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.08 : 1,653.12 = 693.92 : x
  2. Step 2: Convert to fraction form
    1,198.08/1,653.12 = 693.92/x
  3. Step 3: Cross multiply
    1,198.08x = 1,653.12 × 693.92
  4. Step 4: Simplify right side
    1,198.08x = 1,147,133.03
  5. Step 5: Solve for x
    x = 1,147,133.03/1,198.08
  6. Step 6: Final answer
    x = 957.48

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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.