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Finding the Fourth Proportional to 812.95, 1,121.54 and 600.77

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Solution

The fourth proportional to 812.95, 1,121.54 and 600.77 is: 828.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.95 : 1,121.54 = 600.77 : x
  2. Step 2: Convert to fraction form
    812.95/1,121.54 = 600.77/x
  3. Step 3: Cross multiply
    812.95x = 1,121.54 × 600.77
  4. Step 4: Simplify right side
    812.95x = 673,787.59
  5. Step 5: Solve for x
    x = 673,787.59/812.95
  6. Step 6: Final answer
    x = 828.82

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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.