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Finding the Fourth Proportional to 730.32, 1,093.88 and 664.96

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Solution

The fourth proportional to 730.32, 1,093.88 and 664.96 is: 995.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.32 : 1,093.88 = 664.96 : x
  2. Step 2: Convert to fraction form
    730.32/1,093.88 = 664.96/x
  3. Step 3: Cross multiply
    730.32x = 1,093.88 × 664.96
  4. Step 4: Simplify right side
    730.32x = 727,386.44
  5. Step 5: Solve for x
    x = 727,386.44/730.32
  6. Step 6: Final answer
    x = 995.98

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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.