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Finding the Fourth Proportional to 820.76, 1,230.50 and 600.92

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Solution

The fourth proportional to 820.76, 1,230.50 and 600.92 is: 900.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.76 : 1,230.50 = 600.92 : x
  2. Step 2: Convert to fraction form
    820.76/1,230.50 = 600.92/x
  3. Step 3: Cross multiply
    820.76x = 1,230.50 × 600.92
  4. Step 4: Simplify right side
    820.76x = 739,432.06
  5. Step 5: Solve for x
    x = 739,432.06/820.76
  6. Step 6: Final answer
    x = 900.91

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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.