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Finding the Fourth Proportional to 1,379.26, 1,903.25 and 819.58

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Solution

The fourth proportional to 1,379.26, 1,903.25 and 819.58 is: 1,130.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.26 : 1,903.25 = 819.58 : x
  2. Step 2: Convert to fraction form
    1,379.26/1,903.25 = 819.58/x
  3. Step 3: Cross multiply
    1,379.26x = 1,903.25 × 819.58
  4. Step 4: Simplify right side
    1,379.26x = 1,559,865.64
  5. Step 5: Solve for x
    x = 1,559,865.64/1,379.26
  6. Step 6: Final answer
    x = 1,130.94

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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.