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Finding the Fourth Proportional to 966.09, 1,449.61 and 527.33

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Solution

The fourth proportional to 966.09, 1,449.61 and 527.33 is: 791.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.09 : 1,449.61 = 527.33 : x
  2. Step 2: Convert to fraction form
    966.09/1,449.61 = 527.33/x
  3. Step 3: Cross multiply
    966.09x = 1,449.61 × 527.33
  4. Step 4: Simplify right side
    966.09x = 764,414.27
  5. Step 5: Solve for x
    x = 764,414.27/966.09
  6. Step 6: Final answer
    x = 791.25

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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.