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Finding the Fourth Proportional to 818.34, 1,227.69 and 453.66

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Solution

The fourth proportional to 818.34, 1,227.69 and 453.66 is: 680.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.34 : 1,227.69 = 453.66 : x
  2. Step 2: Convert to fraction form
    818.34/1,227.69 = 453.66/x
  3. Step 3: Cross multiply
    818.34x = 1,227.69 × 453.66
  4. Step 4: Simplify right side
    818.34x = 556,953.85
  5. Step 5: Solve for x
    x = 556,953.85/818.34
  6. Step 6: Final answer
    x = 680.59

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