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Finding the Fourth Proportional to 1,282.92, 1,923.17 and 416.63

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Solution

The fourth proportional to 1,282.92, 1,923.17 and 416.63 is: 624.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.92 : 1,923.17 = 416.63 : x
  2. Step 2: Convert to fraction form
    1,282.92/1,923.17 = 416.63/x
  3. Step 3: Cross multiply
    1,282.92x = 1,923.17 × 416.63
  4. Step 4: Simplify right side
    1,282.92x = 801,238.62
  5. Step 5: Solve for x
    x = 801,238.62/1,282.92
  6. Step 6: Final answer
    x = 624.54

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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.