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Finding the Fourth Proportional to 942.12, 1,299.40 and 720.52

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Solution

The fourth proportional to 942.12, 1,299.40 and 720.52 is: 993.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.12 : 1,299.40 = 720.52 : x
  2. Step 2: Convert to fraction form
    942.12/1,299.40 = 720.52/x
  3. Step 3: Cross multiply
    942.12x = 1,299.40 × 720.52
  4. Step 4: Simplify right side
    942.12x = 936,243.69
  5. Step 5: Solve for x
    x = 936,243.69/942.12
  6. Step 6: Final answer
    x = 993.76

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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.