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Finding the Fourth Proportional to 937.34, 1,406.12 and 828.88

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Solution

The fourth proportional to 937.34, 1,406.12 and 828.88 is: 1,243.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.34 : 1,406.12 = 828.88 : x
  2. Step 2: Convert to fraction form
    937.34/1,406.12 = 828.88/x
  3. Step 3: Cross multiply
    937.34x = 1,406.12 × 828.88
  4. Step 4: Simplify right side
    937.34x = 1,165,504.75
  5. Step 5: Solve for x
    x = 1,165,504.75/937.34
  6. Step 6: Final answer
    x = 1,243.42

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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.