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Finding the Fourth Proportional to 965.96, 1,447.77 and 445.23

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Solution

The fourth proportional to 965.96, 1,447.77 and 445.23 is: 667.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.96 : 1,447.77 = 445.23 : x
  2. Step 2: Convert to fraction form
    965.96/1,447.77 = 445.23/x
  3. Step 3: Cross multiply
    965.96x = 1,447.77 × 445.23
  4. Step 4: Simplify right side
    965.96x = 644,590.64
  5. Step 5: Solve for x
    x = 644,590.64/965.96
  6. Step 6: Final answer
    x = 667.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.