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Finding the Fourth Proportional to 825.99, 1,238.21 and 414.65

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Solution

The fourth proportional to 825.99, 1,238.21 and 414.65 is: 621.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.99 : 1,238.21 = 414.65 : x
  2. Step 2: Convert to fraction form
    825.99/1,238.21 = 414.65/x
  3. Step 3: Cross multiply
    825.99x = 1,238.21 × 414.65
  4. Step 4: Simplify right side
    825.99x = 513,417.59
  5. Step 5: Solve for x
    x = 513,417.59/825.99
  6. Step 6: Final answer
    x = 621.58

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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.