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Finding the Fourth Proportional to 998.14, 1,487.18 and 942.26

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Solution

The fourth proportional to 998.14, 1,487.18 and 942.26 is: 1,403.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.14 : 1,487.18 = 942.26 : x
  2. Step 2: Convert to fraction form
    998.14/1,487.18 = 942.26/x
  3. Step 3: Cross multiply
    998.14x = 1,487.18 × 942.26
  4. Step 4: Simplify right side
    998.14x = 1,401,310.23
  5. Step 5: Solve for x
    x = 1,401,310.23/998.14
  6. Step 6: Final answer
    x = 1,403.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.