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Finding the Fourth Proportional to 881.30, 1,321.67 and 418.82

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Solution

The fourth proportional to 881.30, 1,321.67 and 418.82 is: 628.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.30 : 1,321.67 = 418.82 : x
  2. Step 2: Convert to fraction form
    881.30/1,321.67 = 418.82/x
  3. Step 3: Cross multiply
    881.30x = 1,321.67 × 418.82
  4. Step 4: Simplify right side
    881.30x = 553,533.13
  5. Step 5: Solve for x
    x = 553,533.13/881.30
  6. Step 6: Final answer
    x = 628.09

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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.