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Finding the Fourth Proportional to 857.47, 1,286.36 and 467.46

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Solution

The fourth proportional to 857.47, 1,286.36 and 467.46 is: 701.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.47 : 1,286.36 = 467.46 : x
  2. Step 2: Convert to fraction form
    857.47/1,286.36 = 467.46/x
  3. Step 3: Cross multiply
    857.47x = 1,286.36 × 467.46
  4. Step 4: Simplify right side
    857.47x = 601,321.85
  5. Step 5: Solve for x
    x = 601,321.85/857.47
  6. Step 6: Final answer
    x = 701.27

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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.