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Finding the Fourth Proportional to 1,310.73, 1,964.37 and 694.27

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Solution

The fourth proportional to 1,310.73, 1,964.37 and 694.27 is: 1,040.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.73 : 1,964.37 = 694.27 : x
  2. Step 2: Convert to fraction form
    1,310.73/1,964.37 = 694.27/x
  3. Step 3: Cross multiply
    1,310.73x = 1,964.37 × 694.27
  4. Step 4: Simplify right side
    1,310.73x = 1,363,804.31
  5. Step 5: Solve for x
    x = 1,363,804.31/1,310.73
  6. Step 6: Final answer
    x = 1,040.49

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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.