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Finding the Fourth Proportional to 857.07, 1,286.82 and 842.49

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Solution

The fourth proportional to 857.07, 1,286.82 and 842.49 is: 1,264.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.07 : 1,286.82 = 842.49 : x
  2. Step 2: Convert to fraction form
    857.07/1,286.82 = 842.49/x
  3. Step 3: Cross multiply
    857.07x = 1,286.82 × 842.49
  4. Step 4: Simplify right side
    857.07x = 1,084,132.98
  5. Step 5: Solve for x
    x = 1,084,132.98/857.07
  6. Step 6: Final answer
    x = 1,264.93

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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.