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Finding the Fourth Proportional to 843.81, 1,164.43 and 470.81

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Solution

The fourth proportional to 843.81, 1,164.43 and 470.81 is: 649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.81 : 1,164.43 = 470.81 : x
  2. Step 2: Convert to fraction form
    843.81/1,164.43 = 470.81/x
  3. Step 3: Cross multiply
    843.81x = 1,164.43 × 470.81
  4. Step 4: Simplify right side
    843.81x = 548,225.29
  5. Step 5: Solve for x
    x = 548,225.29/843.81
  6. Step 6: Final answer
    x = 649.70

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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.