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Finding the Fourth Proportional to 943.88, 1,415.82 and 922.28

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Solution

The fourth proportional to 943.88, 1,415.82 and 922.28 is: 1,383.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.88 : 1,415.82 = 922.28 : x
  2. Step 2: Convert to fraction form
    943.88/1,415.82 = 922.28/x
  3. Step 3: Cross multiply
    943.88x = 1,415.82 × 922.28
  4. Step 4: Simplify right side
    943.88x = 1,305,782.47
  5. Step 5: Solve for x
    x = 1,305,782.47/943.88
  6. Step 6: Final answer
    x = 1,383.42

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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.