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Finding the Fourth Proportional to 746.57, 1,116.59 and 664.83

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Solution

The fourth proportional to 746.57, 1,116.59 and 664.83 is: 994.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.57 : 1,116.59 = 664.83 : x
  2. Step 2: Convert to fraction form
    746.57/1,116.59 = 664.83/x
  3. Step 3: Cross multiply
    746.57x = 1,116.59 × 664.83
  4. Step 4: Simplify right side
    746.57x = 742,339.21
  5. Step 5: Solve for x
    x = 742,339.21/746.57
  6. Step 6: Final answer
    x = 994.33

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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.