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Finding the Fourth Proportional to 1,193.82, 1,647.41 and 662.66

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Solution

The fourth proportional to 1,193.82, 1,647.41 and 662.66 is: 914.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.82 : 1,647.41 = 662.66 : x
  2. Step 2: Convert to fraction form
    1,193.82/1,647.41 = 662.66/x
  3. Step 3: Cross multiply
    1,193.82x = 1,647.41 × 662.66
  4. Step 4: Simplify right side
    1,193.82x = 1,091,669.40
  5. Step 5: Solve for x
    x = 1,091,669.40/1,193.82
  6. Step 6: Final answer
    x = 914.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.