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Finding the Fourth Proportional to 857.70, 1,286.93 and 395.82

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Solution

The fourth proportional to 857.70, 1,286.93 and 395.82 is: 593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.70 : 1,286.93 = 395.82 : x
  2. Step 2: Convert to fraction form
    857.70/1,286.93 = 395.82/x
  3. Step 3: Cross multiply
    857.70x = 1,286.93 × 395.82
  4. Step 4: Simplify right side
    857.70x = 509,390.65
  5. Step 5: Solve for x
    x = 509,390.65/857.70
  6. Step 6: Final answer
    x = 593.90

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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.