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Finding the Fourth Proportional to 1,388.76, 2,080.39 and 729.65

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Solution

The fourth proportional to 1,388.76, 2,080.39 and 729.65 is: 1,093.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.76 : 2,080.39 = 729.65 : x
  2. Step 2: Convert to fraction form
    1,388.76/2,080.39 = 729.65/x
  3. Step 3: Cross multiply
    1,388.76x = 2,080.39 × 729.65
  4. Step 4: Simplify right side
    1,388.76x = 1,517,956.56
  5. Step 5: Solve for x
    x = 1,517,956.56/1,388.76
  6. Step 6: Final answer
    x = 1,093.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.