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Finding the Fourth Proportional to 854.52, 1,280.82 and 762.72

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Solution

The fourth proportional to 854.52, 1,280.82 and 762.72 is: 1,143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.52 : 1,280.82 = 762.72 : x
  2. Step 2: Convert to fraction form
    854.52/1,280.82 = 762.72/x
  3. Step 3: Cross multiply
    854.52x = 1,280.82 × 762.72
  4. Step 4: Simplify right side
    854.52x = 976,907.03
  5. Step 5: Solve for x
    x = 976,907.03/854.52
  6. Step 6: Final answer
    x = 1,143.22

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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.