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Finding the Fourth Proportional to 825.24, 1,237.86 and 414.03

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Solution

The fourth proportional to 825.24, 1,237.86 and 414.03 is: 621.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.24 : 1,237.86 = 414.03 : x
  2. Step 2: Convert to fraction form
    825.24/1,237.86 = 414.03/x
  3. Step 3: Cross multiply
    825.24x = 1,237.86 × 414.03
  4. Step 4: Simplify right side
    825.24x = 512,511.18
  5. Step 5: Solve for x
    x = 512,511.18/825.24
  6. Step 6: Final answer
    x = 621.05

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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.