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Finding the Fourth Proportional to 732.58, 1,099.32 and 664.23

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Solution

The fourth proportional to 732.58, 1,099.32 and 664.23 is: 996.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.58 : 1,099.32 = 664.23 : x
  2. Step 2: Convert to fraction form
    732.58/1,099.32 = 664.23/x
  3. Step 3: Cross multiply
    732.58x = 1,099.32 × 664.23
  4. Step 4: Simplify right side
    732.58x = 730,201.32
  5. Step 5: Solve for x
    x = 730,201.32/732.58
  6. Step 6: Final answer
    x = 996.75

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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.