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Finding the Fourth Proportional to 966, 1,333.26 and 733.44

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Solution

The fourth proportional to 966, 1,333.26 and 733.44 is: 1,012.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    966 : 1,333.26 = 733.44 : x
  2. Step 2: Convert to fraction form
    966/1,333.26 = 733.44/x
  3. Step 3: Cross multiply
    966x = 1,333.26 × 733.44
  4. Step 4: Simplify right side
    966x = 977,866.21
  5. Step 5: Solve for x
    x = 977,866.21/966
  6. Step 6: Final answer
    x = 1,012.28

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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.