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Finding the Fourth Proportional to 1,123.81, 1,682.07 and 968.29

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Solution

The fourth proportional to 1,123.81, 1,682.07 and 968.29 is: 1,449.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.81 : 1,682.07 = 968.29 : x
  2. Step 2: Convert to fraction form
    1,123.81/1,682.07 = 968.29/x
  3. Step 3: Cross multiply
    1,123.81x = 1,682.07 × 968.29
  4. Step 4: Simplify right side
    1,123.81x = 1,628,731.56
  5. Step 5: Solve for x
    x = 1,628,731.56/1,123.81
  6. Step 6: Final answer
    x = 1,449.29

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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.