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Finding the Fourth Proportional to 829.73, 1,244.67 and 418.60

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Solution

The fourth proportional to 829.73, 1,244.67 and 418.60 is: 627.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.73 : 1,244.67 = 418.60 : x
  2. Step 2: Convert to fraction form
    829.73/1,244.67 = 418.60/x
  3. Step 3: Cross multiply
    829.73x = 1,244.67 × 418.60
  4. Step 4: Simplify right side
    829.73x = 521,018.85
  5. Step 5: Solve for x
    x = 521,018.85/829.73
  6. Step 6: Final answer
    x = 627.94

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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.