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Finding the Fourth Proportional to 853.70, 1,280.75 and 464.09

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Solution

The fourth proportional to 853.70, 1,280.75 and 464.09 is: 696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.70 : 1,280.75 = 464.09 : x
  2. Step 2: Convert to fraction form
    853.70/1,280.75 = 464.09/x
  3. Step 3: Cross multiply
    853.70x = 1,280.75 × 464.09
  4. Step 4: Simplify right side
    853.70x = 594,383.27
  5. Step 5: Solve for x
    x = 594,383.27/853.70
  6. Step 6: Final answer
    x = 696.24

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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.