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Finding the Fourth Proportional to 1,170.57, 1,751.05 and 1,067.93

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Solution

The fourth proportional to 1,170.57, 1,751.05 and 1,067.93 is: 1,597.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.57 : 1,751.05 = 1,067.93 : x
  2. Step 2: Convert to fraction form
    1,170.57/1,751.05 = 1,067.93/x
  3. Step 3: Cross multiply
    1,170.57x = 1,751.05 × 1,067.93
  4. Step 4: Simplify right side
    1,170.57x = 1,869,998.83
  5. Step 5: Solve for x
    x = 1,869,998.83/1,170.57
  6. Step 6: Final answer
    x = 1,597.51

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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.