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Finding the Fourth Proportional to 1,378.68, 2,067.61 and 729.06

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Solution

The fourth proportional to 1,378.68, 2,067.61 and 729.06 is: 1,093.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.68 : 2,067.61 = 729.06 : x
  2. Step 2: Convert to fraction form
    1,378.68/2,067.61 = 729.06/x
  3. Step 3: Cross multiply
    1,378.68x = 2,067.61 × 729.06
  4. Step 4: Simplify right side
    1,378.68x = 1,507,411.75
  5. Step 5: Solve for x
    x = 1,507,411.75/1,378.68
  6. Step 6: Final answer
    x = 1,093.37

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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.