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Finding the Fourth Proportional to 853.70, 1,280.55 and 767.30

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Solution

The fourth proportional to 853.70, 1,280.55 and 767.30 is: 1,150.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.70 : 1,280.55 = 767.30 : x
  2. Step 2: Convert to fraction form
    853.70/1,280.55 = 767.30/x
  3. Step 3: Cross multiply
    853.70x = 1,280.55 × 767.30
  4. Step 4: Simplify right side
    853.70x = 982,566.02
  5. Step 5: Solve for x
    x = 982,566.02/853.70
  6. Step 6: Final answer
    x = 1,150.95

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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.