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Finding the Fourth Proportional to 857.19, 1,285.78 and 207.92

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Solution

The fourth proportional to 857.19, 1,285.78 and 207.92 is: 311.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.19 : 1,285.78 = 207.92 : x
  2. Step 2: Convert to fraction form
    857.19/1,285.78 = 207.92/x
  3. Step 3: Cross multiply
    857.19x = 1,285.78 × 207.92
  4. Step 4: Simplify right side
    857.19x = 267,339.38
  5. Step 5: Solve for x
    x = 267,339.38/857.19
  6. Step 6: Final answer
    x = 311.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.