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Finding the Fourth Proportional to 857.07, 1,285.88 and 301.91

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Solution

The fourth proportional to 857.07, 1,285.88 and 301.91 is: 452.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.07 : 1,285.88 = 301.91 : x
  2. Step 2: Convert to fraction form
    857.07/1,285.88 = 301.91/x
  3. Step 3: Cross multiply
    857.07x = 1,285.88 × 301.91
  4. Step 4: Simplify right side
    857.07x = 388,212.09
  5. Step 5: Solve for x
    x = 388,212.09/857.07
  6. Step 6: Final answer
    x = 452.95

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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.