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Finding the Fourth Proportional to 934.73, 1,295.97 and 878.84

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Solution

The fourth proportional to 934.73, 1,295.97 and 878.84 is: 1,218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.73 : 1,295.97 = 878.84 : x
  2. Step 2: Convert to fraction form
    934.73/1,295.97 = 878.84/x
  3. Step 3: Cross multiply
    934.73x = 1,295.97 × 878.84
  4. Step 4: Simplify right side
    934.73x = 1,138,950.27
  5. Step 5: Solve for x
    x = 1,138,950.27/934.73
  6. Step 6: Final answer
    x = 1,218.48

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Why These Related Problems?

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