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Finding the Fourth Proportional to 854.43, 1,282.05 and 464.42

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Solution

The fourth proportional to 854.43, 1,282.05 and 464.42 is: 696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.43 : 1,282.05 = 464.42 : x
  2. Step 2: Convert to fraction form
    854.43/1,282.05 = 464.42/x
  3. Step 3: Cross multiply
    854.43x = 1,282.05 × 464.42
  4. Step 4: Simplify right side
    854.43x = 595,406.96
  5. Step 5: Solve for x
    x = 595,406.96/854.43
  6. Step 6: Final answer
    x = 696.85

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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.