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Finding the Fourth Proportional to 882.96, 1,324.21 and 419.82

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Solution

The fourth proportional to 882.96, 1,324.21 and 419.82 is: 629.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.96 : 1,324.21 = 419.82 : x
  2. Step 2: Convert to fraction form
    882.96/1,324.21 = 419.82/x
  3. Step 3: Cross multiply
    882.96x = 1,324.21 × 419.82
  4. Step 4: Simplify right side
    882.96x = 555,923.83
  5. Step 5: Solve for x
    x = 555,923.83/882.96
  6. Step 6: Final answer
    x = 629.61

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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.