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Finding the Fourth Proportional to 938.56, 1,296.44 and 720.21

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Solution

The fourth proportional to 938.56, 1,296.44 and 720.21 is: 994.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.56 : 1,296.44 = 720.21 : x
  2. Step 2: Convert to fraction form
    938.56/1,296.44 = 720.21/x
  3. Step 3: Cross multiply
    938.56x = 1,296.44 × 720.21
  4. Step 4: Simplify right side
    938.56x = 933,702.57
  5. Step 5: Solve for x
    x = 933,702.57/938.56
  6. Step 6: Final answer
    x = 994.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.