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Finding the Fourth Proportional to 1,310.99, 1,969.22 and 764.24

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Solution

The fourth proportional to 1,310.99, 1,969.22 and 764.24 is: 1,147.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.99 : 1,969.22 = 764.24 : x
  2. Step 2: Convert to fraction form
    1,310.99/1,969.22 = 764.24/x
  3. Step 3: Cross multiply
    1,310.99x = 1,969.22 × 764.24
  4. Step 4: Simplify right side
    1,310.99x = 1,504,946.72
  5. Step 5: Solve for x
    x = 1,504,946.72/1,310.99
  6. Step 6: Final answer
    x = 1,147.95

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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.