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Finding the Fourth Proportional to 996.22, 1,496.60 and 704.38

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Solution

The fourth proportional to 996.22, 1,496.60 and 704.38 is: 1,058.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.22 : 1,496.60 = 704.38 : x
  2. Step 2: Convert to fraction form
    996.22/1,496.60 = 704.38/x
  3. Step 3: Cross multiply
    996.22x = 1,496.60 × 704.38
  4. Step 4: Simplify right side
    996.22x = 1,054,175.11
  5. Step 5: Solve for x
    x = 1,054,175.11/996.22
  6. Step 6: Final answer
    x = 1,058.18

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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.