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Finding the Fourth Proportional to 1,326.26, 1,989.21 and 352.28

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Solution

The fourth proportional to 1,326.26, 1,989.21 and 352.28 is: 528.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.26 : 1,989.21 = 352.28 : x
  2. Step 2: Convert to fraction form
    1,326.26/1,989.21 = 352.28/x
  3. Step 3: Cross multiply
    1,326.26x = 1,989.21 × 352.28
  4. Step 4: Simplify right side
    1,326.26x = 700,758.90
  5. Step 5: Solve for x
    x = 700,758.90/1,326.26
  6. Step 6: Final answer
    x = 528.37

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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.