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Finding the Fourth Proportional to 1,403.42, 1,936.67 and 773.96

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Solution

The fourth proportional to 1,403.42, 1,936.67 and 773.96 is: 1,068.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.42 : 1,936.67 = 773.96 : x
  2. Step 2: Convert to fraction form
    1,403.42/1,936.67 = 773.96/x
  3. Step 3: Cross multiply
    1,403.42x = 1,936.67 × 773.96
  4. Step 4: Simplify right side
    1,403.42x = 1,498,891.56
  5. Step 5: Solve for x
    x = 1,498,891.56/1,403.42
  6. Step 6: Final answer
    x = 1,068.03

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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.