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Finding the Fourth Proportional to 681.51, 1,022.85 and 270.94

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Solution

The fourth proportional to 681.51, 1,022.85 and 270.94 is: 406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.51 : 1,022.85 = 270.94 : x
  2. Step 2: Convert to fraction form
    681.51/1,022.85 = 270.94/x
  3. Step 3: Cross multiply
    681.51x = 1,022.85 × 270.94
  4. Step 4: Simplify right side
    681.51x = 277,130.38
  5. Step 5: Solve for x
    x = 277,130.38/681.51
  6. Step 6: Final answer
    x = 406.64

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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.