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Finding the Fourth Proportional to 1,198.58, 1,654.79 and 757.13

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Solution

The fourth proportional to 1,198.58, 1,654.79 and 757.13 is: 1,045.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.58 : 1,654.79 = 757.13 : x
  2. Step 2: Convert to fraction form
    1,198.58/1,654.79 = 757.13/x
  3. Step 3: Cross multiply
    1,198.58x = 1,654.79 × 757.13
  4. Step 4: Simplify right side
    1,198.58x = 1,252,879.09
  5. Step 5: Solve for x
    x = 1,252,879.09/1,198.58
  6. Step 6: Final answer
    x = 1,045.31

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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.