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Finding the Fourth Proportional to 843.84, 1,264.38 and 811.84

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Solution

The fourth proportional to 843.84, 1,264.38 and 811.84 is: 1,216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.84 : 1,264.38 = 811.84 : x
  2. Step 2: Convert to fraction form
    843.84/1,264.38 = 811.84/x
  3. Step 3: Cross multiply
    843.84x = 1,264.38 × 811.84
  4. Step 4: Simplify right side
    843.84x = 1,026,474.26
  5. Step 5: Solve for x
    x = 1,026,474.26/843.84
  6. Step 6: Final answer
    x = 1,216.43

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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.