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Finding the Fourth Proportional to 829.07, 1,243.61 and 251.95

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Solution

The fourth proportional to 829.07, 1,243.61 and 251.95 is: 377.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.07 : 1,243.61 = 251.95 : x
  2. Step 2: Convert to fraction form
    829.07/1,243.61 = 251.95/x
  3. Step 3: Cross multiply
    829.07x = 1,243.61 × 251.95
  4. Step 4: Simplify right side
    829.07x = 313,327.54
  5. Step 5: Solve for x
    x = 313,327.54/829.07
  6. Step 6: Final answer
    x = 377.93

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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.