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Finding the Fourth Proportional to 691.91, 1,037.86 and 326.51

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Solution

The fourth proportional to 691.91, 1,037.86 and 326.51 is: 489.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.91 : 1,037.86 = 326.51 : x
  2. Step 2: Convert to fraction form
    691.91/1,037.86 = 326.51/x
  3. Step 3: Cross multiply
    691.91x = 1,037.86 × 326.51
  4. Step 4: Simplify right side
    691.91x = 338,865.66
  5. Step 5: Solve for x
    x = 338,865.66/691.91
  6. Step 6: Final answer
    x = 489.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.