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Finding the Fourth Proportional to 925.26, 1,386.09 and 729.22

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Solution

The fourth proportional to 925.26, 1,386.09 and 729.22 is: 1,092.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.26 : 1,386.09 = 729.22 : x
  2. Step 2: Convert to fraction form
    925.26/1,386.09 = 729.22/x
  3. Step 3: Cross multiply
    925.26x = 1,386.09 × 729.22
  4. Step 4: Simplify right side
    925.26x = 1,010,764.55
  5. Step 5: Solve for x
    x = 1,010,764.55/925.26
  6. Step 6: Final answer
    x = 1,092.41

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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.