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Finding the Fourth Proportional to 946.23, 1,418.31 and 808.86

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Solution

The fourth proportional to 946.23, 1,418.31 and 808.86 is: 1,212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.23 : 1,418.31 = 808.86 : x
  2. Step 2: Convert to fraction form
    946.23/1,418.31 = 808.86/x
  3. Step 3: Cross multiply
    946.23x = 1,418.31 × 808.86
  4. Step 4: Simplify right side
    946.23x = 1,147,203.09
  5. Step 5: Solve for x
    x = 1,147,203.09/946.23
  6. Step 6: Final answer
    x = 1,212.39

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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.