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Finding the Fourth Proportional to 965.92, 1,333.14 and 573.16

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Solution

The fourth proportional to 965.92, 1,333.14 and 573.16 is: 791.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.92 : 1,333.14 = 573.16 : x
  2. Step 2: Convert to fraction form
    965.92/1,333.14 = 573.16/x
  3. Step 3: Cross multiply
    965.92x = 1,333.14 × 573.16
  4. Step 4: Simplify right side
    965.92x = 764,102.52
  5. Step 5: Solve for x
    x = 764,102.52/965.92
  6. Step 6: Final answer
    x = 791.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.