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Finding the Fourth Proportional to 825.90, 1,237.17 and 414.78

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Solution

The fourth proportional to 825.90, 1,237.17 and 414.78 is: 621.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.90 : 1,237.17 = 414.78 : x
  2. Step 2: Convert to fraction form
    825.90/1,237.17 = 414.78/x
  3. Step 3: Cross multiply
    825.90x = 1,237.17 × 414.78
  4. Step 4: Simplify right side
    825.90x = 513,153.37
  5. Step 5: Solve for x
    x = 513,153.37/825.90
  6. Step 6: Final answer
    x = 621.33

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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.