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Finding the Fourth Proportional to 618.42, 926.73 and 488.73

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Solution

The fourth proportional to 618.42, 926.73 and 488.73 is: 732.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.42 : 926.73 = 488.73 : x
  2. Step 2: Convert to fraction form
    618.42/926.73 = 488.73/x
  3. Step 3: Cross multiply
    618.42x = 926.73 × 488.73
  4. Step 4: Simplify right side
    618.42x = 452,920.75
  5. Step 5: Solve for x
    x = 452,920.75/618.42
  6. Step 6: Final answer
    x = 732.38

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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.