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Finding the Fourth Proportional to 792.05, 1,093.16 and 512.12

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Solution

The fourth proportional to 792.05, 1,093.16 and 512.12 is: 706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.05 : 1,093.16 = 512.12 : x
  2. Step 2: Convert to fraction form
    792.05/1,093.16 = 512.12/x
  3. Step 3: Cross multiply
    792.05x = 1,093.16 × 512.12
  4. Step 4: Simplify right side
    792.05x = 559,833.11
  5. Step 5: Solve for x
    x = 559,833.11/792.05
  6. Step 6: Final answer
    x = 706.82

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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.