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Finding the Fourth Proportional to 829.19, 1,244.09 and 252.07

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Solution

The fourth proportional to 829.19, 1,244.09 and 252.07 is: 378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.19 : 1,244.09 = 252.07 : x
  2. Step 2: Convert to fraction form
    829.19/1,244.09 = 252.07/x
  3. Step 3: Cross multiply
    829.19x = 1,244.09 × 252.07
  4. Step 4: Simplify right side
    829.19x = 313,597.77
  5. Step 5: Solve for x
    x = 313,597.77/829.19
  6. Step 6: Final answer
    x = 378.20

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