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Finding the Fourth Proportional to 942.80, 1,407.48 and 796.96

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Solution

The fourth proportional to 942.80, 1,407.48 and 796.96 is: 1,189.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.80 : 1,407.48 = 796.96 : x
  2. Step 2: Convert to fraction form
    942.80/1,407.48 = 796.96/x
  3. Step 3: Cross multiply
    942.80x = 1,407.48 × 796.96
  4. Step 4: Simplify right side
    942.80x = 1,121,705.26
  5. Step 5: Solve for x
    x = 1,121,705.26/942.80
  6. Step 6: Final answer
    x = 1,189.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.