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Finding the Fourth Proportional to 1,328.24, 1,990.80 and 866.27

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Solution

The fourth proportional to 1,328.24, 1,990.80 and 866.27 is: 1,298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.24 : 1,990.80 = 866.27 : x
  2. Step 2: Convert to fraction form
    1,328.24/1,990.80 = 866.27/x
  3. Step 3: Cross multiply
    1,328.24x = 1,990.80 × 866.27
  4. Step 4: Simplify right side
    1,328.24x = 1,724,560.36
  5. Step 5: Solve for x
    x = 1,724,560.36/1,328.24
  6. Step 6: Final answer
    x = 1,298.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.