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Finding the Fourth Proportional to 1,147.91, 1,721.66 and 326.23

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Solution

The fourth proportional to 1,147.91, 1,721.66 and 326.23 is: 489.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.91 : 1,721.66 = 326.23 : x
  2. Step 2: Convert to fraction form
    1,147.91/1,721.66 = 326.23/x
  3. Step 3: Cross multiply
    1,147.91x = 1,721.66 × 326.23
  4. Step 4: Simplify right side
    1,147.91x = 561,651.21
  5. Step 5: Solve for x
    x = 561,651.21/1,147.91
  6. Step 6: Final answer
    x = 489.28

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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.