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Finding the Fourth Proportional to 952.87, 1,429.73 and 513.62

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Solution

The fourth proportional to 952.87, 1,429.73 and 513.62 is: 770.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.87 : 1,429.73 = 513.62 : x
  2. Step 2: Convert to fraction form
    952.87/1,429.73 = 513.62/x
  3. Step 3: Cross multiply
    952.87x = 1,429.73 × 513.62
  4. Step 4: Simplify right side
    952.87x = 734,330.03
  5. Step 5: Solve for x
    x = 734,330.03/952.87
  6. Step 6: Final answer
    x = 770.65

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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.