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Finding the Fourth Proportional to 1,379.26, 1,902.51 and 819.34

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Solution

The fourth proportional to 1,379.26, 1,902.51 and 819.34 is: 1,130.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.26 : 1,902.51 = 819.34 : x
  2. Step 2: Convert to fraction form
    1,379.26/1,902.51 = 819.34/x
  3. Step 3: Cross multiply
    1,379.26x = 1,902.51 × 819.34
  4. Step 4: Simplify right side
    1,379.26x = 1,558,802.54
  5. Step 5: Solve for x
    x = 1,558,802.54/1,379.26
  6. Step 6: Final answer
    x = 1,130.17

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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.