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Finding the Fourth Proportional to 804.05, 1,206.24 and 341.83

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Solution

The fourth proportional to 804.05, 1,206.24 and 341.83 is: 512.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.05 : 1,206.24 = 341.83 : x
  2. Step 2: Convert to fraction form
    804.05/1,206.24 = 341.83/x
  3. Step 3: Cross multiply
    804.05x = 1,206.24 × 341.83
  4. Step 4: Simplify right side
    804.05x = 412,321.28
  5. Step 5: Solve for x
    x = 412,321.28/804.05
  6. Step 6: Final answer
    x = 512.81

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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.