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Finding the Fourth Proportional to 843.64, 1,164.26 and 470.64

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Solution

The fourth proportional to 843.64, 1,164.26 and 470.64 is: 649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.64 : 1,164.26 = 470.64 : x
  2. Step 2: Convert to fraction form
    843.64/1,164.26 = 470.64/x
  3. Step 3: Cross multiply
    843.64x = 1,164.26 × 470.64
  4. Step 4: Simplify right side
    843.64x = 547,947.33
  5. Step 5: Solve for x
    x = 547,947.33/843.64
  6. Step 6: Final answer
    x = 649.50

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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.