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Finding the Fourth Proportional to 692, 1,037.27 and 326.48

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Solution

The fourth proportional to 692, 1,037.27 and 326.48 is: 489.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    692 : 1,037.27 = 326.48 : x
  2. Step 2: Convert to fraction form
    692/1,037.27 = 326.48/x
  3. Step 3: Cross multiply
    692x = 1,037.27 × 326.48
  4. Step 4: Simplify right side
    692x = 338,647.91
  5. Step 5: Solve for x
    x = 338,647.91/692
  6. Step 6: Final answer
    x = 489.38

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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.