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Finding the Fourth Proportional to 937.56, 1,406.26 and 389.76

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Solution

The fourth proportional to 937.56, 1,406.26 and 389.76 is: 584.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.56 : 1,406.26 = 389.76 : x
  2. Step 2: Convert to fraction form
    937.56/1,406.26 = 389.76/x
  3. Step 3: Cross multiply
    937.56x = 1,406.26 × 389.76
  4. Step 4: Simplify right side
    937.56x = 548,103.90
  5. Step 5: Solve for x
    x = 548,103.90/937.56
  6. Step 6: Final answer
    x = 584.61

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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.