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Finding the Fourth Proportional to 1,205.44, 1,808.49 and 512.14

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Solution

The fourth proportional to 1,205.44, 1,808.49 and 512.14 is: 768.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.44 : 1,808.49 = 512.14 : x
  2. Step 2: Convert to fraction form
    1,205.44/1,808.49 = 512.14/x
  3. Step 3: Cross multiply
    1,205.44x = 1,808.49 × 512.14
  4. Step 4: Simplify right side
    1,205.44x = 926,200.07
  5. Step 5: Solve for x
    x = 926,200.07/1,205.44
  6. Step 6: Final answer
    x = 768.35

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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.