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Finding the Fourth Proportional to 1,200.68, 1,655.73 and 1,067.48

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Solution

The fourth proportional to 1,200.68, 1,655.73 and 1,067.48 is: 1,472.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.68 : 1,655.73 = 1,067.48 : x
  2. Step 2: Convert to fraction form
    1,200.68/1,655.73 = 1,067.48/x
  3. Step 3: Cross multiply
    1,200.68x = 1,655.73 × 1,067.48
  4. Step 4: Simplify right side
    1,200.68x = 1,767,450.38
  5. Step 5: Solve for x
    x = 1,767,450.38/1,200.68
  6. Step 6: Final answer
    x = 1,472.05

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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.