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Finding the Fourth Proportional to 843.92, 1,164.29 and 512.22

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Solution

The fourth proportional to 843.92, 1,164.29 and 512.22 is: 706.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.92 : 1,164.29 = 512.22 : x
  2. Step 2: Convert to fraction form
    843.92/1,164.29 = 512.22/x
  3. Step 3: Cross multiply
    843.92x = 1,164.29 × 512.22
  4. Step 4: Simplify right side
    843.92x = 596,372.62
  5. Step 5: Solve for x
    x = 596,372.62/843.92
  6. Step 6: Final answer
    x = 706.67

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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.