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Finding the Fourth Proportional to 827.36, 1,141.76 and 449.24

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Solution

The fourth proportional to 827.36, 1,141.76 and 449.24 is: 619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.36 : 1,141.76 = 449.24 : x
  2. Step 2: Convert to fraction form
    827.36/1,141.76 = 449.24/x
  3. Step 3: Cross multiply
    827.36x = 1,141.76 × 449.24
  4. Step 4: Simplify right side
    827.36x = 512,924.87
  5. Step 5: Solve for x
    x = 512,924.87/827.36
  6. Step 6: Final answer
    x = 619.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.