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Finding the Fourth Proportional to 961.08, 1,441.83 and 344.82

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Solution

The fourth proportional to 961.08, 1,441.83 and 344.82 is: 517.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.08 : 1,441.83 = 344.82 : x
  2. Step 2: Convert to fraction form
    961.08/1,441.83 = 344.82/x
  3. Step 3: Cross multiply
    961.08x = 1,441.83 × 344.82
  4. Step 4: Simplify right side
    961.08x = 497,171.82
  5. Step 5: Solve for x
    x = 497,171.82/961.08
  6. Step 6: Final answer
    x = 517.31

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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.