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Finding the Fourth Proportional to 843.72, 1,164.81 and 512.28

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Solution

The fourth proportional to 843.72, 1,164.81 and 512.28 is: 707.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.72 : 1,164.81 = 512.28 : x
  2. Step 2: Convert to fraction form
    843.72/1,164.81 = 512.28/x
  3. Step 3: Cross multiply
    843.72x = 1,164.81 × 512.28
  4. Step 4: Simplify right side
    843.72x = 596,708.87
  5. Step 5: Solve for x
    x = 596,708.87/843.72
  6. Step 6: Final answer
    x = 707.24

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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.