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Finding the Fourth Proportional to 936.68, 1,284.89 and 880.79

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Solution

The fourth proportional to 936.68, 1,284.89 and 880.79 is: 1,208.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.68 : 1,284.89 = 880.79 : x
  2. Step 2: Convert to fraction form
    936.68/1,284.89 = 880.79/x
  3. Step 3: Cross multiply
    936.68x = 1,284.89 × 880.79
  4. Step 4: Simplify right side
    936.68x = 1,131,707.43
  5. Step 5: Solve for x
    x = 1,131,707.43/936.68
  6. Step 6: Final answer
    x = 1,208.22

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.