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Finding the Fourth Proportional to 854.72, 1,282.20 and 367.78

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Solution

The fourth proportional to 854.72, 1,282.20 and 367.78 is: 551.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.72 : 1,282.20 = 367.78 : x
  2. Step 2: Convert to fraction form
    854.72/1,282.20 = 367.78/x
  3. Step 3: Cross multiply
    854.72x = 1,282.20 × 367.78
  4. Step 4: Simplify right side
    854.72x = 471,567.52
  5. Step 5: Solve for x
    x = 471,567.52/854.72
  6. Step 6: Final answer
    x = 551.72

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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.