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Finding the Fourth Proportional to 829.58, 1,244.38 and 252.44

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Solution

The fourth proportional to 829.58, 1,244.38 and 252.44 is: 378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.58 : 1,244.38 = 252.44 : x
  2. Step 2: Convert to fraction form
    829.58/1,244.38 = 252.44/x
  3. Step 3: Cross multiply
    829.58x = 1,244.38 × 252.44
  4. Step 4: Simplify right side
    829.58x = 314,131.29
  5. Step 5: Solve for x
    x = 314,131.29/829.58
  6. Step 6: Final answer
    x = 378.66

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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.