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Finding the Fourth Proportional to 937.14, 1,411.31 and 854.11

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Solution

The fourth proportional to 937.14, 1,411.31 and 854.11 is: 1,286.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.14 : 1,411.31 = 854.11 : x
  2. Step 2: Convert to fraction form
    937.14/1,411.31 = 854.11/x
  3. Step 3: Cross multiply
    937.14x = 1,411.31 × 854.11
  4. Step 4: Simplify right side
    937.14x = 1,205,413.98
  5. Step 5: Solve for x
    x = 1,205,413.98/937.14
  6. Step 6: Final answer
    x = 1,286.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.