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Finding the Fourth Proportional to 839.93, 1,257.86 and 677.93

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Solution

The fourth proportional to 839.93, 1,257.86 and 677.93 is: 1,015.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.93 : 1,257.86 = 677.93 : x
  2. Step 2: Convert to fraction form
    839.93/1,257.86 = 677.93/x
  3. Step 3: Cross multiply
    839.93x = 1,257.86 × 677.93
  4. Step 4: Simplify right side
    839.93x = 852,736.44
  5. Step 5: Solve for x
    x = 852,736.44/839.93
  6. Step 6: Final answer
    x = 1,015.25

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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.