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Finding the Fourth Proportional to 1,250.84, 1,876.16 and 326.30

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Solution

The fourth proportional to 1,250.84, 1,876.16 and 326.30 is: 489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.84 : 1,876.16 = 326.30 : x
  2. Step 2: Convert to fraction form
    1,250.84/1,876.16 = 326.30/x
  3. Step 3: Cross multiply
    1,250.84x = 1,876.16 × 326.30
  4. Step 4: Simplify right side
    1,250.84x = 612,182.44
  5. Step 5: Solve for x
    x = 612,182.44/1,250.84
  6. Step 6: Final answer
    x = 489.42

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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.