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Finding the Fourth Proportional to 965.42, 1,447.31 and 477.80

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Solution

The fourth proportional to 965.42, 1,447.31 and 477.80 is: 716.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.42 : 1,447.31 = 477.80 : x
  2. Step 2: Convert to fraction form
    965.42/1,447.31 = 477.80/x
  3. Step 3: Cross multiply
    965.42x = 1,447.31 × 477.80
  4. Step 4: Simplify right side
    965.42x = 691,518.68
  5. Step 5: Solve for x
    x = 691,518.68/965.42
  6. Step 6: Final answer
    x = 716.29

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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.