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Finding the Fourth Proportional to 1,054.53, 1,449.09 and 879.57

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Solution

The fourth proportional to 1,054.53, 1,449.09 and 879.57 is: 1,208.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.53 : 1,449.09 = 879.57 : x
  2. Step 2: Convert to fraction form
    1,054.53/1,449.09 = 879.57/x
  3. Step 3: Cross multiply
    1,054.53x = 1,449.09 × 879.57
  4. Step 4: Simplify right side
    1,054.53x = 1,274,576.09
  5. Step 5: Solve for x
    x = 1,274,576.09/1,054.53
  6. Step 6: Final answer
    x = 1,208.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.