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Finding the Fourth Proportional to 839.87, 1,259.68 and 223.63

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Solution

The fourth proportional to 839.87, 1,259.68 and 223.63 is: 335.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.87 : 1,259.68 = 223.63 : x
  2. Step 2: Convert to fraction form
    839.87/1,259.68 = 223.63/x
  3. Step 3: Cross multiply
    839.87x = 1,259.68 × 223.63
  4. Step 4: Simplify right side
    839.87x = 281,698.53
  5. Step 5: Solve for x
    x = 281,698.53/839.87
  6. Step 6: Final answer
    x = 335.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.