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Finding the Fourth Proportional to 844.19, 1,260.17 and 729.37

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Solution

The fourth proportional to 844.19, 1,260.17 and 729.37 is: 1,088.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.19 : 1,260.17 = 729.37 : x
  2. Step 2: Convert to fraction form
    844.19/1,260.17 = 729.37/x
  3. Step 3: Cross multiply
    844.19x = 1,260.17 × 729.37
  4. Step 4: Simplify right side
    844.19x = 919,132.02
  5. Step 5: Solve for x
    x = 919,132.02/844.19
  6. Step 6: Final answer
    x = 1,088.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.