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Finding the Fourth Proportional to 850.25, 1,274.51 and 410.85

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Solution

The fourth proportional to 850.25, 1,274.51 and 410.85 is: 615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.25 : 1,274.51 = 410.85 : x
  2. Step 2: Convert to fraction form
    850.25/1,274.51 = 410.85/x
  3. Step 3: Cross multiply
    850.25x = 1,274.51 × 410.85
  4. Step 4: Simplify right side
    850.25x = 523,630.38
  5. Step 5: Solve for x
    x = 523,630.38/850.25
  6. Step 6: Final answer
    x = 615.86

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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.