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Finding the Fourth Proportional to 1,066.26, 1,595.94 and 965.22

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Solution

The fourth proportional to 1,066.26, 1,595.94 and 965.22 is: 1,444.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.26 : 1,595.94 = 965.22 : x
  2. Step 2: Convert to fraction form
    1,066.26/1,595.94 = 965.22/x
  3. Step 3: Cross multiply
    1,066.26x = 1,595.94 × 965.22
  4. Step 4: Simplify right side
    1,066.26x = 1,540,433.21
  5. Step 5: Solve for x
    x = 1,540,433.21/1,066.26
  6. Step 6: Final answer
    x = 1,444.71

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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.