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Finding the Fourth Proportional to 1,198.84, 1,654.50 and 674.92

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Solution

The fourth proportional to 1,198.84, 1,654.50 and 674.92 is: 931.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.84 : 1,654.50 = 674.92 : x
  2. Step 2: Convert to fraction form
    1,198.84/1,654.50 = 674.92/x
  3. Step 3: Cross multiply
    1,198.84x = 1,654.50 × 674.92
  4. Step 4: Simplify right side
    1,198.84x = 1,116,655.14
  5. Step 5: Solve for x
    x = 1,116,655.14/1,198.84
  6. Step 6: Final answer
    x = 931.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.