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Finding the Fourth Proportional to 721.98, 995.52 and 512.22

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Solution

The fourth proportional to 721.98, 995.52 and 512.22 is: 706.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.98 : 995.52 = 512.22 : x
  2. Step 2: Convert to fraction form
    721.98/995.52 = 512.22/x
  3. Step 3: Cross multiply
    721.98x = 995.52 × 512.22
  4. Step 4: Simplify right side
    721.98x = 509,925.25
  5. Step 5: Solve for x
    x = 509,925.25/721.98
  6. Step 6: Final answer
    x = 706.29

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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.