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Finding the Fourth Proportional to 818.31, 1,227.48 and 453.81

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Solution

The fourth proportional to 818.31, 1,227.48 and 453.81 is: 680.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.31 : 1,227.48 = 453.81 : x
  2. Step 2: Convert to fraction form
    818.31/1,227.48 = 453.81/x
  3. Step 3: Cross multiply
    818.31x = 1,227.48 × 453.81
  4. Step 4: Simplify right side
    818.31x = 557,045.77
  5. Step 5: Solve for x
    x = 557,045.77/818.31
  6. Step 6: Final answer
    x = 680.72

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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.