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Finding the Fourth Proportional to 827.84, 1,142.24 and 496.16

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Solution

The fourth proportional to 827.84, 1,142.24 and 496.16 is: 684.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.84 : 1,142.24 = 496.16 : x
  2. Step 2: Convert to fraction form
    827.84/1,142.24 = 496.16/x
  3. Step 3: Cross multiply
    827.84x = 1,142.24 × 496.16
  4. Step 4: Simplify right side
    827.84x = 566,733.80
  5. Step 5: Solve for x
    x = 566,733.80/827.84
  6. Step 6: Final answer
    x = 684.59

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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.