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Finding the Fourth Proportional to 967.99, 1,451.38 and 704.54

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Solution

The fourth proportional to 967.99, 1,451.38 and 704.54 is: 1,056.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.99 : 1,451.38 = 704.54 : x
  2. Step 2: Convert to fraction form
    967.99/1,451.38 = 704.54/x
  3. Step 3: Cross multiply
    967.99x = 1,451.38 × 704.54
  4. Step 4: Simplify right side
    967.99x = 1,022,555.36
  5. Step 5: Solve for x
    x = 1,022,555.36/967.99
  6. Step 6: Final answer
    x = 1,056.37

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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.