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Finding the Fourth Proportional to 903.38, 1,353.12 and 729.09

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Solution

The fourth proportional to 903.38, 1,353.12 and 729.09 is: 1,092.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.38 : 1,353.12 = 729.09 : x
  2. Step 2: Convert to fraction form
    903.38/1,353.12 = 729.09/x
  3. Step 3: Cross multiply
    903.38x = 1,353.12 × 729.09
  4. Step 4: Simplify right side
    903.38x = 986,546.26
  5. Step 5: Solve for x
    x = 986,546.26/903.38
  6. Step 6: Final answer
    x = 1,092.07

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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.