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Finding the Fourth Proportional to 854.22, 1,280.20 and 832.75

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Solution

The fourth proportional to 854.22, 1,280.20 and 832.75 is: 1,248.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.22 : 1,280.20 = 832.75 : x
  2. Step 2: Convert to fraction form
    854.22/1,280.20 = 832.75/x
  3. Step 3: Cross multiply
    854.22x = 1,280.20 × 832.75
  4. Step 4: Simplify right side
    854.22x = 1,066,086.55
  5. Step 5: Solve for x
    x = 1,066,086.55/854.22
  6. Step 6: Final answer
    x = 1,248.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.