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Finding the Fourth Proportional to 853.25, 1,280.41 and 488.75

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Solution

The fourth proportional to 853.25, 1,280.41 and 488.75 is: 733.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.25 : 1,280.41 = 488.75 : x
  2. Step 2: Convert to fraction form
    853.25/1,280.41 = 488.75/x
  3. Step 3: Cross multiply
    853.25x = 1,280.41 × 488.75
  4. Step 4: Simplify right side
    853.25x = 625,792.76
  5. Step 5: Solve for x
    x = 625,792.76/853.25
  6. Step 6: Final answer
    x = 733.43

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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.