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Finding the Fourth Proportional to 1,199.50, 1,799.36 and 333.82

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Solution

The fourth proportional to 1,199.50, 1,799.36 and 333.82 is: 500.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.50 : 1,799.36 = 333.82 : x
  2. Step 2: Convert to fraction form
    1,199.50/1,799.36 = 333.82/x
  3. Step 3: Cross multiply
    1,199.50x = 1,799.36 × 333.82
  4. Step 4: Simplify right side
    1,199.50x = 600,662.36
  5. Step 5: Solve for x
    x = 600,662.36/1,199.50
  6. Step 6: Final answer
    x = 500.76

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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.