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Finding the Fourth Proportional to 846.86, 1,168.43 and 809.39

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Solution

The fourth proportional to 846.86, 1,168.43 and 809.39 is: 1,116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.86 : 1,168.43 = 809.39 : x
  2. Step 2: Convert to fraction form
    846.86/1,168.43 = 809.39/x
  3. Step 3: Cross multiply
    846.86x = 1,168.43 × 809.39
  4. Step 4: Simplify right side
    846.86x = 945,714.43
  5. Step 5: Solve for x
    x = 945,714.43/846.86
  6. Step 6: Final answer
    x = 1,116.74

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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.