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Finding the Fourth Proportional to 1,369.50, 1,889.79 and 809.99

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Solution

The fourth proportional to 1,369.50, 1,889.79 and 809.99 is: 1,117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.50 : 1,889.79 = 809.99 : x
  2. Step 2: Convert to fraction form
    1,369.50/1,889.79 = 809.99/x
  3. Step 3: Cross multiply
    1,369.50x = 1,889.79 × 809.99
  4. Step 4: Simplify right side
    1,369.50x = 1,530,711.00
  5. Step 5: Solve for x
    x = 1,530,711.00/1,369.50
  6. Step 6: Final answer
    x = 1,117.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.