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Finding the Fourth Proportional to 1,447.82, 1,998.07 and 818.38

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Solution

The fourth proportional to 1,447.82, 1,998.07 and 818.38 is: 1,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.82 : 1,998.07 = 818.38 : x
  2. Step 2: Convert to fraction form
    1,447.82/1,998.07 = 818.38/x
  3. Step 3: Cross multiply
    1,447.82x = 1,998.07 × 818.38
  4. Step 4: Simplify right side
    1,447.82x = 1,635,175.36
  5. Step 5: Solve for x
    x = 1,635,175.36/1,447.82
  6. Step 6: Final answer
    x = 1,129.40

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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.