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Finding the Fourth Proportional to 1,409.70, 1,944.90 and 819.75

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Solution

The fourth proportional to 1,409.70, 1,944.90 and 819.75 is: 1,130.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.70 : 1,944.90 = 819.75 : x
  2. Step 2: Convert to fraction form
    1,409.70/1,944.90 = 819.75/x
  3. Step 3: Cross multiply
    1,409.70x = 1,944.90 × 819.75
  4. Step 4: Simplify right side
    1,409.70x = 1,594,331.78
  5. Step 5: Solve for x
    x = 1,594,331.78/1,409.70
  6. Step 6: Final answer
    x = 1,130.97

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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.