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Finding the Fourth Proportional to 843.30, 1,164.24 and 563.94

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Solution

The fourth proportional to 843.30, 1,164.24 and 563.94 is: 778.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.30 : 1,164.24 = 563.94 : x
  2. Step 2: Convert to fraction form
    843.30/1,164.24 = 563.94/x
  3. Step 3: Cross multiply
    843.30x = 1,164.24 × 563.94
  4. Step 4: Simplify right side
    843.30x = 656,561.51
  5. Step 5: Solve for x
    x = 656,561.51/843.30
  6. Step 6: Final answer
    x = 778.56

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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.