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Finding the Fourth Proportional to 1,444.97, 1,994.04 and 815.49

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Solution

The fourth proportional to 1,444.97, 1,994.04 and 815.49 is: 1,125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.97 : 1,994.04 = 815.49 : x
  2. Step 2: Convert to fraction form
    1,444.97/1,994.04 = 815.49/x
  3. Step 3: Cross multiply
    1,444.97x = 1,994.04 × 815.49
  4. Step 4: Simplify right side
    1,444.97x = 1,626,119.68
  5. Step 5: Solve for x
    x = 1,626,119.68/1,444.97
  6. Step 6: Final answer
    x = 1,125.37

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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.