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Finding the Fourth Proportional to 792.56, 1,093.23 and 512.35

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Solution

The fourth proportional to 792.56, 1,093.23 and 512.35 is: 706.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.56 : 1,093.23 = 512.35 : x
  2. Step 2: Convert to fraction form
    792.56/1,093.23 = 512.35/x
  3. Step 3: Cross multiply
    792.56x = 1,093.23 × 512.35
  4. Step 4: Simplify right side
    792.56x = 560,116.39
  5. Step 5: Solve for x
    x = 560,116.39/792.56
  6. Step 6: Final answer
    x = 706.72

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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.