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Finding the Fourth Proportional to 792.12, 1,093.74 and 512.55

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Solution

The fourth proportional to 792.12, 1,093.74 and 512.55 is: 707.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.12 : 1,093.74 = 512.55 : x
  2. Step 2: Convert to fraction form
    792.12/1,093.74 = 512.55/x
  3. Step 3: Cross multiply
    792.12x = 1,093.74 × 512.55
  4. Step 4: Simplify right side
    792.12x = 560,596.44
  5. Step 5: Solve for x
    x = 560,596.44/792.12
  6. Step 6: Final answer
    x = 707.72

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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.