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Finding the Fourth Proportional to 995.56, 1,493.40 and 941.08

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Solution

The fourth proportional to 995.56, 1,493.40 and 941.08 is: 1,411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.56 : 1,493.40 = 941.08 : x
  2. Step 2: Convert to fraction form
    995.56/1,493.40 = 941.08/x
  3. Step 3: Cross multiply
    995.56x = 1,493.40 × 941.08
  4. Step 4: Simplify right side
    995.56x = 1,405,408.87
  5. Step 5: Solve for x
    x = 1,405,408.87/995.56
  6. Step 6: Final answer
    x = 1,411.68

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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.