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Finding the Fourth Proportional to 843.92, 1,164.48 and 512.30

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Solution

The fourth proportional to 843.92, 1,164.48 and 512.30 is: 706.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.92 : 1,164.48 = 512.30 : x
  2. Step 2: Convert to fraction form
    843.92/1,164.48 = 512.30/x
  3. Step 3: Cross multiply
    843.92x = 1,164.48 × 512.30
  4. Step 4: Simplify right side
    843.92x = 596,563.10
  5. Step 5: Solve for x
    x = 596,563.10/843.92
  6. Step 6: Final answer
    x = 706.90

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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.