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Finding the Fourth Proportional to 827.18, 1,141.64 and 495.71

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Solution

The fourth proportional to 827.18, 1,141.64 and 495.71 is: 684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.18 : 1,141.64 = 495.71 : x
  2. Step 2: Convert to fraction form
    827.18/1,141.64 = 495.71/x
  3. Step 3: Cross multiply
    827.18x = 1,141.64 × 495.71
  4. Step 4: Simplify right side
    827.18x = 565,922.74
  5. Step 5: Solve for x
    x = 565,922.74/827.18
  6. Step 6: Final answer
    x = 684.16

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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.