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Finding the Fourth Proportional to 827.82, 1,142.64 and 496.08

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Solution

The fourth proportional to 827.82, 1,142.64 and 496.08 is: 684.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.82 : 1,142.64 = 496.08 : x
  2. Step 2: Convert to fraction form
    827.82/1,142.64 = 496.08/x
  3. Step 3: Cross multiply
    827.82x = 1,142.64 × 496.08
  4. Step 4: Simplify right side
    827.82x = 566,840.85
  5. Step 5: Solve for x
    x = 566,840.85/827.82
  6. Step 6: Final answer
    x = 684.74

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Why These Related Problems?

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