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Finding the Fourth Proportional to 827.61, 1,142.06 and 495.96

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Solution

The fourth proportional to 827.61, 1,142.06 and 495.96 is: 684.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.61 : 1,142.06 = 495.96 : x
  2. Step 2: Convert to fraction form
    827.61/1,142.06 = 495.96/x
  3. Step 3: Cross multiply
    827.61x = 1,142.06 × 495.96
  4. Step 4: Simplify right side
    827.61x = 566,413.60
  5. Step 5: Solve for x
    x = 566,413.60/827.61
  6. Step 6: Final answer
    x = 684.40

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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.