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Finding the Fourth Proportional to 829.77, 1,244.83 and 252.63

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Solution

The fourth proportional to 829.77, 1,244.83 and 252.63 is: 378.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.77 : 1,244.83 = 252.63 : x
  2. Step 2: Convert to fraction form
    829.77/1,244.83 = 252.63/x
  3. Step 3: Cross multiply
    829.77x = 1,244.83 × 252.63
  4. Step 4: Simplify right side
    829.77x = 314,475.18
  5. Step 5: Solve for x
    x = 314,475.18/829.77
  6. Step 6: Final answer
    x = 378.99

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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.