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Finding the Fourth Proportional to 1,370.09, 1,890.44 and 872.55

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Solution

The fourth proportional to 1,370.09, 1,890.44 and 872.55 is: 1,203.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.09 : 1,890.44 = 872.55 : x
  2. Step 2: Convert to fraction form
    1,370.09/1,890.44 = 872.55/x
  3. Step 3: Cross multiply
    1,370.09x = 1,890.44 × 872.55
  4. Step 4: Simplify right side
    1,370.09x = 1,649,499.06
  5. Step 5: Solve for x
    x = 1,649,499.06/1,370.09
  6. Step 6: Final answer
    x = 1,203.94

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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.