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Finding the Fourth Proportional to 1,326.17, 1,989.39 and 352.37

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Solution

The fourth proportional to 1,326.17, 1,989.39 and 352.37 is: 528.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.17 : 1,989.39 = 352.37 : x
  2. Step 2: Convert to fraction form
    1,326.17/1,989.39 = 352.37/x
  3. Step 3: Cross multiply
    1,326.17x = 1,989.39 × 352.37
  4. Step 4: Simplify right side
    1,326.17x = 701,007.65
  5. Step 5: Solve for x
    x = 701,007.65/1,326.17
  6. Step 6: Final answer
    x = 528.59

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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.