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Finding the Fourth Proportional to 882.23, 1,322.73 and 395.82

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Solution

The fourth proportional to 882.23, 1,322.73 and 395.82 is: 593.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.23 : 1,322.73 = 395.82 : x
  2. Step 2: Convert to fraction form
    882.23/1,322.73 = 395.82/x
  3. Step 3: Cross multiply
    882.23x = 1,322.73 × 395.82
  4. Step 4: Simplify right side
    882.23x = 523,562.99
  5. Step 5: Solve for x
    x = 523,562.99/882.23
  6. Step 6: Final answer
    x = 593.46

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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.