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Finding the Fourth Proportional to 965.44, 1,448.24 and 452.80

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Solution

The fourth proportional to 965.44, 1,448.24 and 452.80 is: 679.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.44 : 1,448.24 = 452.80 : x
  2. Step 2: Convert to fraction form
    965.44/1,448.24 = 452.80/x
  3. Step 3: Cross multiply
    965.44x = 1,448.24 × 452.80
  4. Step 4: Simplify right side
    965.44x = 655,763.07
  5. Step 5: Solve for x
    x = 655,763.07/965.44
  6. Step 6: Final answer
    x = 679.24

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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.