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Finding the Fourth Proportional to 636.32, 953.16 and 513.92

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Solution

The fourth proportional to 636.32, 953.16 and 513.92 is: 769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.32 : 953.16 = 513.92 : x
  2. Step 2: Convert to fraction form
    636.32/953.16 = 513.92/x
  3. Step 3: Cross multiply
    636.32x = 953.16 × 513.92
  4. Step 4: Simplify right side
    636.32x = 489,847.99
  5. Step 5: Solve for x
    x = 489,847.99/636.32
  6. Step 6: Final answer
    x = 769.81

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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.