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Finding the Fourth Proportional to 843.84, 1,164.44 and 470.78

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Solution

The fourth proportional to 843.84, 1,164.44 and 470.78 is: 649.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.84 : 1,164.44 = 470.78 : x
  2. Step 2: Convert to fraction form
    843.84/1,164.44 = 470.78/x
  3. Step 3: Cross multiply
    843.84x = 1,164.44 × 470.78
  4. Step 4: Simplify right side
    843.84x = 548,195.06
  5. Step 5: Solve for x
    x = 548,195.06/843.84
  6. Step 6: Final answer
    x = 649.64

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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.