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Finding the Fourth Proportional to 1,193.50, 1,647.09 and 662.44

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Solution

The fourth proportional to 1,193.50, 1,647.09 and 662.44 is: 914.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.50 : 1,647.09 = 662.44 : x
  2. Step 2: Convert to fraction form
    1,193.50/1,647.09 = 662.44/x
  3. Step 3: Cross multiply
    1,193.50x = 1,647.09 × 662.44
  4. Step 4: Simplify right side
    1,193.50x = 1,091,086.75
  5. Step 5: Solve for x
    x = 1,091,086.75/1,193.50
  6. Step 6: Final answer
    x = 914.19

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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.