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Finding the Fourth Proportional to 1,310.27, 1,969.07 and 1,076.99

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Solution

The fourth proportional to 1,310.27, 1,969.07 and 1,076.99 is: 1,618.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.27 : 1,969.07 = 1,076.99 : x
  2. Step 2: Convert to fraction form
    1,310.27/1,969.07 = 1,076.99/x
  3. Step 3: Cross multiply
    1,310.27x = 1,969.07 × 1,076.99
  4. Step 4: Simplify right side
    1,310.27x = 2,120,653.47
  5. Step 5: Solve for x
    x = 2,120,653.47/1,310.27
  6. Step 6: Final answer
    x = 1,618.49

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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.