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Finding the Fourth Proportional to 825.39, 1,237.05 and 414.63

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Solution

The fourth proportional to 825.39, 1,237.05 and 414.63 is: 621.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.39 : 1,237.05 = 414.63 : x
  2. Step 2: Convert to fraction form
    825.39/1,237.05 = 414.63/x
  3. Step 3: Cross multiply
    825.39x = 1,237.05 × 414.63
  4. Step 4: Simplify right side
    825.39x = 512,918.04
  5. Step 5: Solve for x
    x = 512,918.04/825.39
  6. Step 6: Final answer
    x = 621.43

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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.