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Finding the Fourth Proportional to 937.75, 1,403.37 and 771.23

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Solution

The fourth proportional to 937.75, 1,403.37 and 771.23 is: 1,154.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.75 : 1,403.37 = 771.23 : x
  2. Step 2: Convert to fraction form
    937.75/1,403.37 = 771.23/x
  3. Step 3: Cross multiply
    937.75x = 1,403.37 × 771.23
  4. Step 4: Simplify right side
    937.75x = 1,082,321.05
  5. Step 5: Solve for x
    x = 1,082,321.05/937.75
  6. Step 6: Final answer
    x = 1,154.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.