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Finding the Fourth Proportional to 827.08, 1,240.64 and 242.14

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Solution

The fourth proportional to 827.08, 1,240.64 and 242.14 is: 363.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.08 : 1,240.64 = 242.14 : x
  2. Step 2: Convert to fraction form
    827.08/1,240.64 = 242.14/x
  3. Step 3: Cross multiply
    827.08x = 1,240.64 × 242.14
  4. Step 4: Simplify right side
    827.08x = 300,408.57
  5. Step 5: Solve for x
    x = 300,408.57/827.08
  6. Step 6: Final answer
    x = 363.22

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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.