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Finding the Fourth Proportional to 621.96, 932.94 and 541.77

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Solution

The fourth proportional to 621.96, 932.94 and 541.77 is: 812.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.96 : 932.94 = 541.77 : x
  2. Step 2: Convert to fraction form
    621.96/932.94 = 541.77/x
  3. Step 3: Cross multiply
    621.96x = 932.94 × 541.77
  4. Step 4: Simplify right side
    621.96x = 505,438.90
  5. Step 5: Solve for x
    x = 505,438.90/621.96
  6. Step 6: Final answer
    x = 812.66

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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.