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Finding the Fourth Proportional to 1,322.49, 1,983.75 and 398.06

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Solution

The fourth proportional to 1,322.49, 1,983.75 and 398.06 is: 597.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.49 : 1,983.75 = 398.06 : x
  2. Step 2: Convert to fraction form
    1,322.49/1,983.75 = 398.06/x
  3. Step 3: Cross multiply
    1,322.49x = 1,983.75 × 398.06
  4. Step 4: Simplify right side
    1,322.49x = 789,651.53
  5. Step 5: Solve for x
    x = 789,651.53/1,322.49
  6. Step 6: Final answer
    x = 597.09

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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.