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Finding the Fourth Proportional to 1,447.63, 1,997.70 and 809.57

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Solution

The fourth proportional to 1,447.63, 1,997.70 and 809.57 is: 1,117.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.63 : 1,997.70 = 809.57 : x
  2. Step 2: Convert to fraction form
    1,447.63/1,997.70 = 809.57/x
  3. Step 3: Cross multiply
    1,447.63x = 1,997.70 × 809.57
  4. Step 4: Simplify right side
    1,447.63x = 1,617,274.33
  5. Step 5: Solve for x
    x = 1,617,274.33/1,447.63
  6. Step 6: Final answer
    x = 1,117.19

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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.