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Finding the Fourth Proportional to 920.44, 1,270.22 and 566.22

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Solution

The fourth proportional to 920.44, 1,270.22 and 566.22 is: 781.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.44 : 1,270.22 = 566.22 : x
  2. Step 2: Convert to fraction form
    920.44/1,270.22 = 566.22/x
  3. Step 3: Cross multiply
    920.44x = 1,270.22 × 566.22
  4. Step 4: Simplify right side
    920.44x = 719,223.97
  5. Step 5: Solve for x
    x = 719,223.97/920.44
  6. Step 6: Final answer
    x = 781.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.