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Finding the Fourth Proportional to 818.10, 1,218.49 and 814.12

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Solution

The fourth proportional to 818.10, 1,218.49 and 814.12 is: 1,212.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.10 : 1,218.49 = 814.12 : x
  2. Step 2: Convert to fraction form
    818.10/1,218.49 = 814.12/x
  3. Step 3: Cross multiply
    818.10x = 1,218.49 × 814.12
  4. Step 4: Simplify right side
    818.10x = 991,997.08
  5. Step 5: Solve for x
    x = 991,997.08/818.10
  6. Step 6: Final answer
    x = 1,212.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.