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Finding the Fourth Proportional to 827.98, 1,241.76 and 242.82

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Solution

The fourth proportional to 827.98, 1,241.76 and 242.82 is: 364.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.98 : 1,241.76 = 242.82 : x
  2. Step 2: Convert to fraction form
    827.98/1,241.76 = 242.82/x
  3. Step 3: Cross multiply
    827.98x = 1,241.76 × 242.82
  4. Step 4: Simplify right side
    827.98x = 301,524.16
  5. Step 5: Solve for x
    x = 301,524.16/827.98
  6. Step 6: Final answer
    x = 364.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.