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Finding the Fourth Proportional to 881.31, 1,213.70 and 732.58

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Solution

The fourth proportional to 881.31, 1,213.70 and 732.58 is: 1,008.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.31 : 1,213.70 = 732.58 : x
  2. Step 2: Convert to fraction form
    881.31/1,213.70 = 732.58/x
  3. Step 3: Cross multiply
    881.31x = 1,213.70 × 732.58
  4. Step 4: Simplify right side
    881.31x = 889,134.18
  5. Step 5: Solve for x
    x = 889,134.18/881.31
  6. Step 6: Final answer
    x = 1,008.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.