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Finding the Fourth Proportional to 967.92, 1,336.23 and 734.64

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Solution

The fourth proportional to 967.92, 1,336.23 and 734.64 is: 1,014.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.92 : 1,336.23 = 734.64 : x
  2. Step 2: Convert to fraction form
    967.92/1,336.23 = 734.64/x
  3. Step 3: Cross multiply
    967.92x = 1,336.23 × 734.64
  4. Step 4: Simplify right side
    967.92x = 981,648.01
  5. Step 5: Solve for x
    x = 981,648.01/967.92
  6. Step 6: Final answer
    x = 1,014.18

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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.