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Finding the Fourth Proportional to 825.45, 1,237.23 and 414.87

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Solution

The fourth proportional to 825.45, 1,237.23 and 414.87 is: 621.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.45 : 1,237.23 = 414.87 : x
  2. Step 2: Convert to fraction form
    825.45/1,237.23 = 414.87/x
  3. Step 3: Cross multiply
    825.45x = 1,237.23 × 414.87
  4. Step 4: Simplify right side
    825.45x = 513,289.61
  5. Step 5: Solve for x
    x = 513,289.61/825.45
  6. Step 6: Final answer
    x = 621.83

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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.