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Finding the Fourth Proportional to 857.74, 1,285.26 and 467.41

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Solution

The fourth proportional to 857.74, 1,285.26 and 467.41 is: 700.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.74 : 1,285.26 = 467.41 : x
  2. Step 2: Convert to fraction form
    857.74/1,285.26 = 467.41/x
  3. Step 3: Cross multiply
    857.74x = 1,285.26 × 467.41
  4. Step 4: Simplify right side
    857.74x = 600,743.38
  5. Step 5: Solve for x
    x = 600,743.38/857.74
  6. Step 6: Final answer
    x = 700.38

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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.