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Finding the Fourth Proportional to 827.15, 1,141.65 and 495.77

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Solution

The fourth proportional to 827.15, 1,141.65 and 495.77 is: 684.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.15 : 1,141.65 = 495.77 : x
  2. Step 2: Convert to fraction form
    827.15/1,141.65 = 495.77/x
  3. Step 3: Cross multiply
    827.15x = 1,141.65 × 495.77
  4. Step 4: Simplify right side
    827.15x = 565,990.11
  5. Step 5: Solve for x
    x = 565,990.11/827.15
  6. Step 6: Final answer
    x = 684.27

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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.