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Finding the Fourth Proportional to 825.62, 1,238.56 and 414.34

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Solution

The fourth proportional to 825.62, 1,238.56 and 414.34 is: 621.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.62 : 1,238.56 = 414.34 : x
  2. Step 2: Convert to fraction form
    825.62/1,238.56 = 414.34/x
  3. Step 3: Cross multiply
    825.62x = 1,238.56 × 414.34
  4. Step 4: Simplify right side
    825.62x = 513,184.95
  5. Step 5: Solve for x
    x = 513,184.95/825.62
  6. Step 6: Final answer
    x = 621.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.