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Finding the Fourth Proportional to 881.02, 1,321.68 and 442.48

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Solution

The fourth proportional to 881.02, 1,321.68 and 442.48 is: 663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.02 : 1,321.68 = 442.48 : x
  2. Step 2: Convert to fraction form
    881.02/1,321.68 = 442.48/x
  3. Step 3: Cross multiply
    881.02x = 1,321.68 × 442.48
  4. Step 4: Simplify right side
    881.02x = 584,816.97
  5. Step 5: Solve for x
    x = 584,816.97/881.02
  6. Step 6: Final answer
    x = 663.80

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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.