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Finding the Fourth Proportional to 721.98, 996.50 and 511.94

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Solution

The fourth proportional to 721.98, 996.50 and 511.94 is: 706.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.98 : 996.50 = 511.94 : x
  2. Step 2: Convert to fraction form
    721.98/996.50 = 511.94/x
  3. Step 3: Cross multiply
    721.98x = 996.50 × 511.94
  4. Step 4: Simplify right side
    721.98x = 510,148.21
  5. Step 5: Solve for x
    x = 510,148.21/721.98
  6. Step 6: Final answer
    x = 706.60

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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.