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Finding the Fourth Proportional to 850.57, 1,274.77 and 466.09

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Solution

The fourth proportional to 850.57, 1,274.77 and 466.09 is: 698.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.57 : 1,274.77 = 466.09 : x
  2. Step 2: Convert to fraction form
    850.57/1,274.77 = 466.09/x
  3. Step 3: Cross multiply
    850.57x = 1,274.77 × 466.09
  4. Step 4: Simplify right side
    850.57x = 594,154.94
  5. Step 5: Solve for x
    x = 594,154.94/850.57
  6. Step 6: Final answer
    x = 698.54

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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.