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Finding the Fourth Proportional to 937.86, 1,403.55 and 827.70

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Solution

The fourth proportional to 937.86, 1,403.55 and 827.70 is: 1,238.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.86 : 1,403.55 = 827.70 : x
  2. Step 2: Convert to fraction form
    937.86/1,403.55 = 827.70/x
  3. Step 3: Cross multiply
    937.86x = 1,403.55 × 827.70
  4. Step 4: Simplify right side
    937.86x = 1,161,718.34
  5. Step 5: Solve for x
    x = 1,161,718.34/937.86
  6. Step 6: Final answer
    x = 1,238.69

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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.