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Finding the Fourth Proportional to 1,305.87, 1,961.82 and 867.39

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Solution

The fourth proportional to 1,305.87, 1,961.82 and 867.39 is: 1,303.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.87 : 1,961.82 = 867.39 : x
  2. Step 2: Convert to fraction form
    1,305.87/1,961.82 = 867.39/x
  3. Step 3: Cross multiply
    1,305.87x = 1,961.82 × 867.39
  4. Step 4: Simplify right side
    1,305.87x = 1,701,663.05
  5. Step 5: Solve for x
    x = 1,701,663.05/1,305.87
  6. Step 6: Final answer
    x = 1,303.09

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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.