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Finding the Fourth Proportional to 965.51, 1,448.97 and 746.68

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Solution

The fourth proportional to 965.51, 1,448.97 and 746.68 is: 1,120.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.51 : 1,448.97 = 746.68 : x
  2. Step 2: Convert to fraction form
    965.51/1,448.97 = 746.68/x
  3. Step 3: Cross multiply
    965.51x = 1,448.97 × 746.68
  4. Step 4: Simplify right side
    965.51x = 1,081,909.67
  5. Step 5: Solve for x
    x = 1,081,909.67/965.51
  6. Step 6: Final answer
    x = 1,120.56

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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.