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Finding the Fourth Proportional to 854.37, 1,280.46 and 464.55

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Solution

The fourth proportional to 854.37, 1,280.46 and 464.55 is: 696.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.37 : 1,280.46 = 464.55 : x
  2. Step 2: Convert to fraction form
    854.37/1,280.46 = 464.55/x
  3. Step 3: Cross multiply
    854.37x = 1,280.46 × 464.55
  4. Step 4: Simplify right side
    854.37x = 594,837.69
  5. Step 5: Solve for x
    x = 594,837.69/854.37
  6. Step 6: Final answer
    x = 696.23

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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.