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Finding the Fourth Proportional to 713.97, 1,071.36 and 281.43

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Solution

The fourth proportional to 713.97, 1,071.36 and 281.43 is: 422.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.97 : 1,071.36 = 281.43 : x
  2. Step 2: Convert to fraction form
    713.97/1,071.36 = 281.43/x
  3. Step 3: Cross multiply
    713.97x = 1,071.36 × 281.43
  4. Step 4: Simplify right side
    713.97x = 301,512.84
  5. Step 5: Solve for x
    x = 301,512.84/713.97
  6. Step 6: Final answer
    x = 422.30

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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.