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Finding the Fourth Proportional to 881.09, 1,213.14 and 748.04

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Solution

The fourth proportional to 881.09, 1,213.14 and 748.04 is: 1,029.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.09 : 1,213.14 = 748.04 : x
  2. Step 2: Convert to fraction form
    881.09/1,213.14 = 748.04/x
  3. Step 3: Cross multiply
    881.09x = 1,213.14 × 748.04
  4. Step 4: Simplify right side
    881.09x = 907,470.83
  5. Step 5: Solve for x
    x = 907,470.83/881.09
  6. Step 6: Final answer
    x = 1,029.94

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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.