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Finding the Fourth Proportional to 1,409.07, 1,944.83 and 819.95

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Solution

The fourth proportional to 1,409.07, 1,944.83 and 819.95 is: 1,131.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.07 : 1,944.83 = 819.95 : x
  2. Step 2: Convert to fraction form
    1,409.07/1,944.83 = 819.95/x
  3. Step 3: Cross multiply
    1,409.07x = 1,944.83 × 819.95
  4. Step 4: Simplify right side
    1,409.07x = 1,594,663.36
  5. Step 5: Solve for x
    x = 1,594,663.36/1,409.07
  6. Step 6: Final answer
    x = 1,131.71

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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.