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Finding the Fourth Proportional to 965.75, 1,447.40 and 805.37

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Solution

The fourth proportional to 965.75, 1,447.40 and 805.37 is: 1,207.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.75 : 1,447.40 = 805.37 : x
  2. Step 2: Convert to fraction form
    965.75/1,447.40 = 805.37/x
  3. Step 3: Cross multiply
    965.75x = 1,447.40 × 805.37
  4. Step 4: Simplify right side
    965.75x = 1,165,698.17
  5. Step 5: Solve for x
    x = 1,165,698.17/965.75
  6. Step 6: Final answer
    x = 1,207.04

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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.