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Finding the Fourth Proportional to 1,299.64, 1,950.27 and 813.64

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Solution

The fourth proportional to 1,299.64, 1,950.27 and 813.64 is: 1,220.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.64 : 1,950.27 = 813.64 : x
  2. Step 2: Convert to fraction form
    1,299.64/1,950.27 = 813.64/x
  3. Step 3: Cross multiply
    1,299.64x = 1,950.27 × 813.64
  4. Step 4: Simplify right side
    1,299.64x = 1,586,817.68
  5. Step 5: Solve for x
    x = 1,586,817.68/1,299.64
  6. Step 6: Final answer
    x = 1,220.97

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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.