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Finding the Fourth Proportional to 827.64, 1,240.32 and 796.08

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Solution

The fourth proportional to 827.64, 1,240.32 and 796.08 is: 1,193.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.64 : 1,240.32 = 796.08 : x
  2. Step 2: Convert to fraction form
    827.64/1,240.32 = 796.08/x
  3. Step 3: Cross multiply
    827.64x = 1,240.32 × 796.08
  4. Step 4: Simplify right side
    827.64x = 987,393.95
  5. Step 5: Solve for x
    x = 987,393.95/827.64
  6. Step 6: Final answer
    x = 1,193.02

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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.