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Finding the Fourth Proportional to 843.98, 1,164.64 and 470.96

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Solution

The fourth proportional to 843.98, 1,164.64 and 470.96 is: 649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.98 : 1,164.64 = 470.96 : x
  2. Step 2: Convert to fraction form
    843.98/1,164.64 = 470.96/x
  3. Step 3: Cross multiply
    843.98x = 1,164.64 × 470.96
  4. Step 4: Simplify right side
    843.98x = 548,498.85
  5. Step 5: Solve for x
    x = 548,498.85/843.98
  6. Step 6: Final answer
    x = 649.90

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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.