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Finding the Fourth Proportional to 866.44, 1,299.72 and 289.36

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Solution

The fourth proportional to 866.44, 1,299.72 and 289.36 is: 434.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.44 : 1,299.72 = 289.36 : x
  2. Step 2: Convert to fraction form
    866.44/1,299.72 = 289.36/x
  3. Step 3: Cross multiply
    866.44x = 1,299.72 × 289.36
  4. Step 4: Simplify right side
    866.44x = 376,086.98
  5. Step 5: Solve for x
    x = 376,086.98/866.44
  6. Step 6: Final answer
    x = 434.06

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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.