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Finding the Fourth Proportional to 995.59, 1,493.59 and 822.45

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Solution

The fourth proportional to 995.59, 1,493.59 and 822.45 is: 1,233.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.59 : 1,493.59 = 822.45 : x
  2. Step 2: Convert to fraction form
    995.59/1,493.59 = 822.45/x
  3. Step 3: Cross multiply
    995.59x = 1,493.59 × 822.45
  4. Step 4: Simplify right side
    995.59x = 1,228,408.18
  5. Step 5: Solve for x
    x = 1,228,408.18/995.59
  6. Step 6: Final answer
    x = 1,233.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.