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Finding the Fourth Proportional to 858.13, 1,286.07 and 395.83

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Solution

The fourth proportional to 858.13, 1,286.07 and 395.83 is: 593.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.13 : 1,286.07 = 395.83 : x
  2. Step 2: Convert to fraction form
    858.13/1,286.07 = 395.83/x
  3. Step 3: Cross multiply
    858.13x = 1,286.07 × 395.83
  4. Step 4: Simplify right side
    858.13x = 509,065.09
  5. Step 5: Solve for x
    x = 509,065.09/858.13
  6. Step 6: Final answer
    x = 593.23

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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.