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Finding the Fourth Proportional to 746.32, 1,116.21 and 664.63

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Solution

The fourth proportional to 746.32, 1,116.21 and 664.63 is: 994.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.32 : 1,116.21 = 664.63 : x
  2. Step 2: Convert to fraction form
    746.32/1,116.21 = 664.63/x
  3. Step 3: Cross multiply
    746.32x = 1,116.21 × 664.63
  4. Step 4: Simplify right side
    746.32x = 741,863.89
  5. Step 5: Solve for x
    x = 741,863.89/746.32
  6. Step 6: Final answer
    x = 994.03

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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.