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Finding the Fourth Proportional to 1,205.41, 1,805.34 and 618.97

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Solution

The fourth proportional to 1,205.41, 1,805.34 and 618.97 is: 927.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.41 : 1,805.34 = 618.97 : x
  2. Step 2: Convert to fraction form
    1,205.41/1,805.34 = 618.97/x
  3. Step 3: Cross multiply
    1,205.41x = 1,805.34 × 618.97
  4. Step 4: Simplify right side
    1,205.41x = 1,117,451.30
  5. Step 5: Solve for x
    x = 1,117,451.30/1,205.41
  6. Step 6: Final answer
    x = 927.03

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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.