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Finding the Fourth Proportional to 800.04, 1,199.64 and 337.68

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Solution

The fourth proportional to 800.04, 1,199.64 and 337.68 is: 506.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.04 : 1,199.64 = 337.68 : x
  2. Step 2: Convert to fraction form
    800.04/1,199.64 = 337.68/x
  3. Step 3: Cross multiply
    800.04x = 1,199.64 × 337.68
  4. Step 4: Simplify right side
    800.04x = 405,094.44
  5. Step 5: Solve for x
    x = 405,094.44/800.04
  6. Step 6: Final answer
    x = 506.34

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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.