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Finding the Fourth Proportional to 925.74, 1,391.31 and 816.39

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Solution

The fourth proportional to 925.74, 1,391.31 and 816.39 is: 1,226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.74 : 1,391.31 = 816.39 : x
  2. Step 2: Convert to fraction form
    925.74/1,391.31 = 816.39/x
  3. Step 3: Cross multiply
    925.74x = 1,391.31 × 816.39
  4. Step 4: Simplify right side
    925.74x = 1,135,851.57
  5. Step 5: Solve for x
    x = 1,135,851.57/925.74
  6. Step 6: Final answer
    x = 1,226.97

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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.