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Finding the Fourth Proportional to 818.52, 1,227.36 and 407.88

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Solution

The fourth proportional to 818.52, 1,227.36 and 407.88 is: 611.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.52 : 1,227.36 = 407.88 : x
  2. Step 2: Convert to fraction form
    818.52/1,227.36 = 407.88/x
  3. Step 3: Cross multiply
    818.52x = 1,227.36 × 407.88
  4. Step 4: Simplify right side
    818.52x = 500,617.13
  5. Step 5: Solve for x
    x = 500,617.13/818.52
  6. Step 6: Final answer
    x = 611.62

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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.