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Finding the Fourth Proportional to 965.34, 1,449.18 and 804.96

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Solution

The fourth proportional to 965.34, 1,449.18 and 804.96 is: 1,208.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.34 : 1,449.18 = 804.96 : x
  2. Step 2: Convert to fraction form
    965.34/1,449.18 = 804.96/x
  3. Step 3: Cross multiply
    965.34x = 1,449.18 × 804.96
  4. Step 4: Simplify right side
    965.34x = 1,166,531.93
  5. Step 5: Solve for x
    x = 1,166,531.93/965.34
  6. Step 6: Final answer
    x = 1,208.42

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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.