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Finding the Fourth Proportional to 1,322.57, 1,983.89 and 398.15

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Solution

The fourth proportional to 1,322.57, 1,983.89 and 398.15 is: 597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.57 : 1,983.89 = 398.15 : x
  2. Step 2: Convert to fraction form
    1,322.57/1,983.89 = 398.15/x
  3. Step 3: Cross multiply
    1,322.57x = 1,983.89 × 398.15
  4. Step 4: Simplify right side
    1,322.57x = 789,885.80
  5. Step 5: Solve for x
    x = 789,885.80/1,322.57
  6. Step 6: Final answer
    x = 597.24

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Why These Related Problems?

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