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Finding the Fourth Proportional to 825.69, 1,237.81 and 414.24

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Solution

The fourth proportional to 825.69, 1,237.81 and 414.24 is: 620.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.69 : 1,237.81 = 414.24 : x
  2. Step 2: Convert to fraction form
    825.69/1,237.81 = 414.24/x
  3. Step 3: Cross multiply
    825.69x = 1,237.81 × 414.24
  4. Step 4: Simplify right side
    825.69x = 512,748.34
  5. Step 5: Solve for x
    x = 512,748.34/825.69
  6. Step 6: Final answer
    x = 620.99

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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.