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Finding the Fourth Proportional to 966.48, 1,333.74 and 573.54

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Solution

The fourth proportional to 966.48, 1,333.74 and 573.54 is: 791.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.48 : 1,333.74 = 573.54 : x
  2. Step 2: Convert to fraction form
    966.48/1,333.74 = 573.54/x
  3. Step 3: Cross multiply
    966.48x = 1,333.74 × 573.54
  4. Step 4: Simplify right side
    966.48x = 764,953.24
  5. Step 5: Solve for x
    x = 764,953.24/966.48
  6. Step 6: Final answer
    x = 791.48

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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.