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Finding the Fourth Proportional to 858.65, 1,286.32 and 565.27

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Solution

The fourth proportional to 858.65, 1,286.32 and 565.27 is: 846.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.65 : 1,286.32 = 565.27 : x
  2. Step 2: Convert to fraction form
    858.65/1,286.32 = 565.27/x
  3. Step 3: Cross multiply
    858.65x = 1,286.32 × 565.27
  4. Step 4: Simplify right side
    858.65x = 727,114.54
  5. Step 5: Solve for x
    x = 727,114.54/858.65
  6. Step 6: Final answer
    x = 846.81

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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.