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Finding the Fourth Proportional to 862.44, 1,292.94 and 400.55

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Solution

The fourth proportional to 862.44, 1,292.94 and 400.55 is: 600.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.44 : 1,292.94 = 400.55 : x
  2. Step 2: Convert to fraction form
    862.44/1,292.94 = 400.55/x
  3. Step 3: Cross multiply
    862.44x = 1,292.94 × 400.55
  4. Step 4: Simplify right side
    862.44x = 517,880.65
  5. Step 5: Solve for x
    x = 517,880.65/862.44
  6. Step 6: Final answer
    x = 600.48

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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.