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Finding the Fourth Proportional to 863.22, 1,293.62 and 690.29

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Solution

The fourth proportional to 863.22, 1,293.62 and 690.29 is: 1,034.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.22 : 1,293.62 = 690.29 : x
  2. Step 2: Convert to fraction form
    863.22/1,293.62 = 690.29/x
  3. Step 3: Cross multiply
    863.22x = 1,293.62 × 690.29
  4. Step 4: Simplify right side
    863.22x = 892,963.03
  5. Step 5: Solve for x
    x = 892,963.03/863.22
  6. Step 6: Final answer
    x = 1,034.46

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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.