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Finding the Fourth Proportional to 1,400.89, 1,933.23 and 771.43

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Solution

The fourth proportional to 1,400.89, 1,933.23 and 771.43 is: 1,064.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.89 : 1,933.23 = 771.43 : x
  2. Step 2: Convert to fraction form
    1,400.89/1,933.23 = 771.43/x
  3. Step 3: Cross multiply
    1,400.89x = 1,933.23 × 771.43
  4. Step 4: Simplify right side
    1,400.89x = 1,491,351.62
  5. Step 5: Solve for x
    x = 1,491,351.62/1,400.89
  6. Step 6: Final answer
    x = 1,064.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.