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Finding the Fourth Proportional to 920.28, 1,270.21 and 566.43

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Solution

The fourth proportional to 920.28, 1,270.21 and 566.43 is: 781.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.28 : 1,270.21 = 566.43 : x
  2. Step 2: Convert to fraction form
    920.28/1,270.21 = 566.43/x
  3. Step 3: Cross multiply
    920.28x = 1,270.21 × 566.43
  4. Step 4: Simplify right side
    920.28x = 719,485.05
  5. Step 5: Solve for x
    x = 719,485.05/920.28
  6. Step 6: Final answer
    x = 781.81

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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.