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Finding the Fourth Proportional to 804.12, 1,205.94 and 371.16

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Solution

The fourth proportional to 804.12, 1,205.94 and 371.16 is: 556.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.12 : 1,205.94 = 371.16 : x
  2. Step 2: Convert to fraction form
    804.12/1,205.94 = 371.16/x
  3. Step 3: Cross multiply
    804.12x = 1,205.94 × 371.16
  4. Step 4: Simplify right side
    804.12x = 447,596.69
  5. Step 5: Solve for x
    x = 447,596.69/804.12
  6. Step 6: Final answer
    x = 556.63

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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.