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Finding the Fourth Proportional to 936.92, 1,290.12 and 849.08

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Solution

The fourth proportional to 936.92, 1,290.12 and 849.08 is: 1,169.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.92 : 1,290.12 = 849.08 : x
  2. Step 2: Convert to fraction form
    936.92/1,290.12 = 849.08/x
  3. Step 3: Cross multiply
    936.92x = 1,290.12 × 849.08
  4. Step 4: Simplify right side
    936.92x = 1,095,415.09
  5. Step 5: Solve for x
    x = 1,095,415.09/936.92
  6. Step 6: Final answer
    x = 1,169.17

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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.