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Finding the Fourth Proportional to 1,152.88, 1,720.96 and 1,067.23

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Solution

The fourth proportional to 1,152.88, 1,720.96 and 1,067.23 is: 1,593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.88 : 1,720.96 = 1,067.23 : x
  2. Step 2: Convert to fraction form
    1,152.88/1,720.96 = 1,067.23/x
  3. Step 3: Cross multiply
    1,152.88x = 1,720.96 × 1,067.23
  4. Step 4: Simplify right side
    1,152.88x = 1,836,660.14
  5. Step 5: Solve for x
    x = 1,836,660.14/1,152.88
  6. Step 6: Final answer
    x = 1,593.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.