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Finding the Fourth Proportional to 1,174.05, 1,756.22 and 1,067.13

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Solution

The fourth proportional to 1,174.05, 1,756.22 and 1,067.13 is: 1,596.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.05 : 1,756.22 = 1,067.13 : x
  2. Step 2: Convert to fraction form
    1,174.05/1,756.22 = 1,067.13/x
  3. Step 3: Cross multiply
    1,174.05x = 1,756.22 × 1,067.13
  4. Step 4: Simplify right side
    1,174.05x = 1,874,109.71
  5. Step 5: Solve for x
    x = 1,874,109.71/1,174.05
  6. Step 6: Final answer
    x = 1,596.28

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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.