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Finding the Fourth Proportional to 961.81, 1,443.32 and 551.75

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Solution

The fourth proportional to 961.81, 1,443.32 and 551.75 is: 827.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.81 : 1,443.32 = 551.75 : x
  2. Step 2: Convert to fraction form
    961.81/1,443.32 = 551.75/x
  3. Step 3: Cross multiply
    961.81x = 1,443.32 × 551.75
  4. Step 4: Simplify right side
    961.81x = 796,349.58
  5. Step 5: Solve for x
    x = 796,349.58/961.81
  6. Step 6: Final answer
    x = 827.97

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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.