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Finding the Fourth Proportional to 966.26, 1,333.50 and 573.20

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Solution

The fourth proportional to 966.26, 1,333.50 and 573.20 is: 791.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.26 : 1,333.50 = 573.20 : x
  2. Step 2: Convert to fraction form
    966.26/1,333.50 = 573.20/x
  3. Step 3: Cross multiply
    966.26x = 1,333.50 × 573.20
  4. Step 4: Simplify right side
    966.26x = 764,362.20
  5. Step 5: Solve for x
    x = 764,362.20/966.26
  6. Step 6: Final answer
    x = 791.05

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Why These Related Problems?

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