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Finding the Fourth Proportional to 800.03, 1,199.99 and 337.57

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Solution

The fourth proportional to 800.03, 1,199.99 and 337.57 is: 506.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.03 : 1,199.99 = 337.57 : x
  2. Step 2: Convert to fraction form
    800.03/1,199.99 = 337.57/x
  3. Step 3: Cross multiply
    800.03x = 1,199.99 × 337.57
  4. Step 4: Simplify right side
    800.03x = 405,080.62
  5. Step 5: Solve for x
    x = 405,080.62/800.03
  6. Step 6: Final answer
    x = 506.33

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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.