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Finding the Fourth Proportional to 722.56, 996.07 and 512.09

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Solution

The fourth proportional to 722.56, 996.07 and 512.09 is: 705.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.56 : 996.07 = 512.09 : x
  2. Step 2: Convert to fraction form
    722.56/996.07 = 512.09/x
  3. Step 3: Cross multiply
    722.56x = 996.07 × 512.09
  4. Step 4: Simplify right side
    722.56x = 510,077.49
  5. Step 5: Solve for x
    x = 510,077.49/722.56
  6. Step 6: Final answer
    x = 705.93

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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.