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Finding the Fourth Proportional to 1,195.06, 1,793.10 and 618.34

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Solution

The fourth proportional to 1,195.06, 1,793.10 and 618.34 is: 927.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.06 : 1,793.10 = 618.34 : x
  2. Step 2: Convert to fraction form
    1,195.06/1,793.10 = 618.34/x
  3. Step 3: Cross multiply
    1,195.06x = 1,793.10 × 618.34
  4. Step 4: Simplify right side
    1,195.06x = 1,108,745.45
  5. Step 5: Solve for x
    x = 1,108,745.45/1,195.06
  6. Step 6: Final answer
    x = 927.77

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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.