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Finding the Fourth Proportional to 943.82, 1,415.73 and 822.17

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Solution

The fourth proportional to 943.82, 1,415.73 and 822.17 is: 1,233.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.82 : 1,415.73 = 822.17 : x
  2. Step 2: Convert to fraction form
    943.82/1,415.73 = 822.17/x
  3. Step 3: Cross multiply
    943.82x = 1,415.73 × 822.17
  4. Step 4: Simplify right side
    943.82x = 1,163,970.73
  5. Step 5: Solve for x
    x = 1,163,970.73/943.82
  6. Step 6: Final answer
    x = 1,233.26

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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.