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Finding the Fourth Proportional to 713.44, 1,071.96 and 684.64

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Solution

The fourth proportional to 713.44, 1,071.96 and 684.64 is: 1,028.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.44 : 1,071.96 = 684.64 : x
  2. Step 2: Convert to fraction form
    713.44/1,071.96 = 684.64/x
  3. Step 3: Cross multiply
    713.44x = 1,071.96 × 684.64
  4. Step 4: Simplify right side
    713.44x = 733,906.69
  5. Step 5: Solve for x
    x = 733,906.69/713.44
  6. Step 6: Final answer
    x = 1,028.69

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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.