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Finding the Fourth Proportional to 1,441.57, 2,162.86 and 711.66

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Solution

The fourth proportional to 1,441.57, 2,162.86 and 711.66 is: 1,067.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.57 : 2,162.86 = 711.66 : x
  2. Step 2: Convert to fraction form
    1,441.57/2,162.86 = 711.66/x
  3. Step 3: Cross multiply
    1,441.57x = 2,162.86 × 711.66
  4. Step 4: Simplify right side
    1,441.57x = 1,539,210.13
  5. Step 5: Solve for x
    x = 1,539,210.13/1,441.57
  6. Step 6: Final answer
    x = 1,067.73

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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.