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Finding the Fourth Proportional to 937.21, 1,292.38 and 804.87

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Solution

The fourth proportional to 937.21, 1,292.38 and 804.87 is: 1,109.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.21 : 1,292.38 = 804.87 : x
  2. Step 2: Convert to fraction form
    937.21/1,292.38 = 804.87/x
  3. Step 3: Cross multiply
    937.21x = 1,292.38 × 804.87
  4. Step 4: Simplify right side
    937.21x = 1,040,187.40
  5. Step 5: Solve for x
    x = 1,040,187.40/937.21
  6. Step 6: Final answer
    x = 1,109.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.