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Finding the Fourth Proportional to 1,322.66, 1,983.40 and 398.05

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Solution

The fourth proportional to 1,322.66, 1,983.40 and 398.05 is: 596.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.66 : 1,983.40 = 398.05 : x
  2. Step 2: Convert to fraction form
    1,322.66/1,983.40 = 398.05/x
  3. Step 3: Cross multiply
    1,322.66x = 1,983.40 × 398.05
  4. Step 4: Simplify right side
    1,322.66x = 789,492.37
  5. Step 5: Solve for x
    x = 789,492.37/1,322.66
  6. Step 6: Final answer
    x = 596.90

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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.