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Finding the Fourth Proportional to 995.10, 1,372.68 and 699.84

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Solution

The fourth proportional to 995.10, 1,372.68 and 699.84 is: 965.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.10 : 1,372.68 = 699.84 : x
  2. Step 2: Convert to fraction form
    995.10/1,372.68 = 699.84/x
  3. Step 3: Cross multiply
    995.10x = 1,372.68 × 699.84
  4. Step 4: Simplify right side
    995.10x = 960,656.37
  5. Step 5: Solve for x
    x = 960,656.37/995.10
  6. Step 6: Final answer
    x = 965.39

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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.