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Finding the Fourth Proportional to 966.84, 1,333.44 and 733.56

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Solution

The fourth proportional to 966.84, 1,333.44 and 733.56 is: 1,011.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.84 : 1,333.44 = 733.56 : x
  2. Step 2: Convert to fraction form
    966.84/1,333.44 = 733.56/x
  3. Step 3: Cross multiply
    966.84x = 1,333.44 × 733.56
  4. Step 4: Simplify right side
    966.84x = 978,158.25
  5. Step 5: Solve for x
    x = 978,158.25/966.84
  6. Step 6: Final answer
    x = 1,011.71

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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.