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Finding the Fourth Proportional to 1,322.19, 1,983.41 and 397.57

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Solution

The fourth proportional to 1,322.19, 1,983.41 and 397.57 is: 596.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.19 : 1,983.41 = 397.57 : x
  2. Step 2: Convert to fraction form
    1,322.19/1,983.41 = 397.57/x
  3. Step 3: Cross multiply
    1,322.19x = 1,983.41 × 397.57
  4. Step 4: Simplify right side
    1,322.19x = 788,546.48
  5. Step 5: Solve for x
    x = 788,546.48/1,322.19
  6. Step 6: Final answer
    x = 596.40

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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.