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Finding the Fourth Proportional to 1,297.86, 1,943.55 and 809.43

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Solution

The fourth proportional to 1,297.86, 1,943.55 and 809.43 is: 1,212.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.86 : 1,943.55 = 809.43 : x
  2. Step 2: Convert to fraction form
    1,297.86/1,943.55 = 809.43/x
  3. Step 3: Cross multiply
    1,297.86x = 1,943.55 × 809.43
  4. Step 4: Simplify right side
    1,297.86x = 1,573,167.68
  5. Step 5: Solve for x
    x = 1,573,167.68/1,297.86
  6. Step 6: Final answer
    x = 1,212.12

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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.