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Finding the Fourth Proportional to 804.27, 1,206.43 and 342.14

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Solution

The fourth proportional to 804.27, 1,206.43 and 342.14 is: 513.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.27 : 1,206.43 = 342.14 : x
  2. Step 2: Convert to fraction form
    804.27/1,206.43 = 342.14/x
  3. Step 3: Cross multiply
    804.27x = 1,206.43 × 342.14
  4. Step 4: Simplify right side
    804.27x = 412,761.07
  5. Step 5: Solve for x
    x = 412,761.07/804.27
  6. Step 6: Final answer
    x = 513.21

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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.