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Finding the Fourth Proportional to 920.36, 1,270.38 and 566.39

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Solution

The fourth proportional to 920.36, 1,270.38 and 566.39 is: 781.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.36 : 1,270.38 = 566.39 : x
  2. Step 2: Convert to fraction form
    920.36/1,270.38 = 566.39/x
  3. Step 3: Cross multiply
    920.36x = 1,270.38 × 566.39
  4. Step 4: Simplify right side
    920.36x = 719,530.53
  5. Step 5: Solve for x
    x = 719,530.53/920.36
  6. Step 6: Final answer
    x = 781.79

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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.