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Finding the Fourth Proportional to 952.87, 1,429.09 and 733.36

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Solution

The fourth proportional to 952.87, 1,429.09 and 733.36 is: 1,099.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.87 : 1,429.09 = 733.36 : x
  2. Step 2: Convert to fraction form
    952.87/1,429.09 = 733.36/x
  3. Step 3: Cross multiply
    952.87x = 1,429.09 × 733.36
  4. Step 4: Simplify right side
    952.87x = 1,048,037.44
  5. Step 5: Solve for x
    x = 1,048,037.44/952.87
  6. Step 6: Final answer
    x = 1,099.87

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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.