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Finding the Fourth Proportional to 1,148.15, 1,721.96 and 326.23

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Solution

The fourth proportional to 1,148.15, 1,721.96 and 326.23 is: 489.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.15 : 1,721.96 = 326.23 : x
  2. Step 2: Convert to fraction form
    1,148.15/1,721.96 = 326.23/x
  3. Step 3: Cross multiply
    1,148.15x = 1,721.96 × 326.23
  4. Step 4: Simplify right side
    1,148.15x = 561,755.01
  5. Step 5: Solve for x
    x = 561,755.01/1,148.15
  6. Step 6: Final answer
    x = 489.27

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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.