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Finding the Fourth Proportional to 632.54, 948.83 and 581.79

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Solution

The fourth proportional to 632.54, 948.83 and 581.79 is: 872.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.54 : 948.83 = 581.79 : x
  2. Step 2: Convert to fraction form
    632.54/948.83 = 581.79/x
  3. Step 3: Cross multiply
    632.54x = 948.83 × 581.79
  4. Step 4: Simplify right side
    632.54x = 552,016.90
  5. Step 5: Solve for x
    x = 552,016.90/632.54
  6. Step 6: Final answer
    x = 872.71

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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.