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Finding the Fourth Proportional to 850.53, 1,274.10 and 484.27

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Solution

The fourth proportional to 850.53, 1,274.10 and 484.27 is: 725.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.53 : 1,274.10 = 484.27 : x
  2. Step 2: Convert to fraction form
    850.53/1,274.10 = 484.27/x
  3. Step 3: Cross multiply
    850.53x = 1,274.10 × 484.27
  4. Step 4: Simplify right side
    850.53x = 617,008.41
  5. Step 5: Solve for x
    x = 617,008.41/850.53
  6. Step 6: Final answer
    x = 725.44

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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.