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Finding the Fourth Proportional to 820.49, 1,227.63 and 455.54

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Solution

The fourth proportional to 820.49, 1,227.63 and 455.54 is: 681.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.49 : 1,227.63 = 455.54 : x
  2. Step 2: Convert to fraction form
    820.49/1,227.63 = 455.54/x
  3. Step 3: Cross multiply
    820.49x = 1,227.63 × 455.54
  4. Step 4: Simplify right side
    820.49x = 559,237.64
  5. Step 5: Solve for x
    x = 559,237.64/820.49
  6. Step 6: Final answer
    x = 681.59

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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.