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Finding the Fourth Proportional to 820.54, 1,229.59 and 763.03

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Solution

The fourth proportional to 820.54, 1,229.59 and 763.03 is: 1,143.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.54 : 1,229.59 = 763.03 : x
  2. Step 2: Convert to fraction form
    820.54/1,229.59 = 763.03/x
  3. Step 3: Cross multiply
    820.54x = 1,229.59 × 763.03
  4. Step 4: Simplify right side
    820.54x = 938,214.06
  5. Step 5: Solve for x
    x = 938,214.06/820.54
  6. Step 6: Final answer
    x = 1,143.41

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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.