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Finding the Fourth Proportional to 618.23, 922.83 and 540.38

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Solution

The fourth proportional to 618.23, 922.83 and 540.38 is: 806.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.23 : 922.83 = 540.38 : x
  2. Step 2: Convert to fraction form
    618.23/922.83 = 540.38/x
  3. Step 3: Cross multiply
    618.23x = 922.83 × 540.38
  4. Step 4: Simplify right side
    618.23x = 498,676.17
  5. Step 5: Solve for x
    x = 498,676.17/618.23
  6. Step 6: Final answer
    x = 806.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.