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Finding the Fourth Proportional to 965.64, 1,448.37 and 262.83

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Solution

The fourth proportional to 965.64, 1,448.37 and 262.83 is: 394.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.64 : 1,448.37 = 262.83 : x
  2. Step 2: Convert to fraction form
    965.64/1,448.37 = 262.83/x
  3. Step 3: Cross multiply
    965.64x = 1,448.37 × 262.83
  4. Step 4: Simplify right side
    965.64x = 380,675.09
  5. Step 5: Solve for x
    x = 380,675.09/965.64
  6. Step 6: Final answer
    x = 394.22

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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.