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Finding the Fourth Proportional to 1,198.65, 1,654.23 and 674.73

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Solution

The fourth proportional to 1,198.65, 1,654.23 and 674.73 is: 931.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.65 : 1,654.23 = 674.73 : x
  2. Step 2: Convert to fraction form
    1,198.65/1,654.23 = 674.73/x
  3. Step 3: Cross multiply
    1,198.65x = 1,654.23 × 674.73
  4. Step 4: Simplify right side
    1,198.65x = 1,116,158.61
  5. Step 5: Solve for x
    x = 1,116,158.61/1,198.65
  6. Step 6: Final answer
    x = 931.18

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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.