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Finding the Fourth Proportional to 936.75, 1,298.96 and 905.62

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Solution

The fourth proportional to 936.75, 1,298.96 and 905.62 is: 1,255.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.75 : 1,298.96 = 905.62 : x
  2. Step 2: Convert to fraction form
    936.75/1,298.96 = 905.62/x
  3. Step 3: Cross multiply
    936.75x = 1,298.96 × 905.62
  4. Step 4: Simplify right side
    936.75x = 1,176,364.16
  5. Step 5: Solve for x
    x = 1,176,364.16/936.75
  6. Step 6: Final answer
    x = 1,255.79

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.