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Finding the Fourth Proportional to 1,326.22, 1,989.43 and 401.81

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Solution

The fourth proportional to 1,326.22, 1,989.43 and 401.81 is: 602.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.22 : 1,989.43 = 401.81 : x
  2. Step 2: Convert to fraction form
    1,326.22/1,989.43 = 401.81/x
  3. Step 3: Cross multiply
    1,326.22x = 1,989.43 × 401.81
  4. Step 4: Simplify right side
    1,326.22x = 799,361.92
  5. Step 5: Solve for x
    x = 799,361.92/1,326.22
  6. Step 6: Final answer
    x = 602.74

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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.