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Finding the Fourth Proportional to 965.23, 1,448.76 and 600.73

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Solution

The fourth proportional to 965.23, 1,448.76 and 600.73 is: 901.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.23 : 1,448.76 = 600.73 : x
  2. Step 2: Convert to fraction form
    965.23/1,448.76 = 600.73/x
  3. Step 3: Cross multiply
    965.23x = 1,448.76 × 600.73
  4. Step 4: Simplify right side
    965.23x = 870,313.59
  5. Step 5: Solve for x
    x = 870,313.59/965.23
  6. Step 6: Final answer
    x = 901.66

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