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Finding the Fourth Proportional to 820.08, 1,131.83 and 540.72

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Solution

The fourth proportional to 820.08, 1,131.83 and 540.72 is: 746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.08 : 1,131.83 = 540.72 : x
  2. Step 2: Convert to fraction form
    820.08/1,131.83 = 540.72/x
  3. Step 3: Cross multiply
    820.08x = 1,131.83 × 540.72
  4. Step 4: Simplify right side
    820.08x = 612,000.41
  5. Step 5: Solve for x
    x = 612,000.41/820.08
  6. Step 6: Final answer
    x = 746.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.