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Finding the Fourth Proportional to 1,067.66, 1,460.70 and 1,063.05

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Solution

The fourth proportional to 1,067.66, 1,460.70 and 1,063.05 is: 1,454.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.66 : 1,460.70 = 1,063.05 : x
  2. Step 2: Convert to fraction form
    1,067.66/1,460.70 = 1,063.05/x
  3. Step 3: Cross multiply
    1,067.66x = 1,460.70 × 1,063.05
  4. Step 4: Simplify right side
    1,067.66x = 1,552,797.14
  5. Step 5: Solve for x
    x = 1,552,797.14/1,067.66
  6. Step 6: Final answer
    x = 1,454.39

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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.