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Finding the Fourth Proportional to 804.11, 1,206.36 and 284.09

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Solution

The fourth proportional to 804.11, 1,206.36 and 284.09 is: 426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.11 : 1,206.36 = 284.09 : x
  2. Step 2: Convert to fraction form
    804.11/1,206.36 = 284.09/x
  3. Step 3: Cross multiply
    804.11x = 1,206.36 × 284.09
  4. Step 4: Simplify right side
    804.11x = 342,708.78
  5. Step 5: Solve for x
    x = 342,708.78/804.11
  6. Step 6: Final answer
    x = 426.20

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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.