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Finding the Fourth Proportional to 843.59, 1,164.20 and 470.59

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Solution

The fourth proportional to 843.59, 1,164.20 and 470.59 is: 649.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.59 : 1,164.20 = 470.59 : x
  2. Step 2: Convert to fraction form
    843.59/1,164.20 = 470.59/x
  3. Step 3: Cross multiply
    843.59x = 1,164.20 × 470.59
  4. Step 4: Simplify right side
    843.59x = 547,855.61
  5. Step 5: Solve for x
    x = 547,855.61/843.59
  6. Step 6: Final answer
    x = 649.43

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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.