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Finding the Fourth Proportional to 872.22, 1,308.33 and 547.81

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Solution

The fourth proportional to 872.22, 1,308.33 and 547.81 is: 821.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.22 : 1,308.33 = 547.81 : x
  2. Step 2: Convert to fraction form
    872.22/1,308.33 = 547.81/x
  3. Step 3: Cross multiply
    872.22x = 1,308.33 × 547.81
  4. Step 4: Simplify right side
    872.22x = 716,716.79
  5. Step 5: Solve for x
    x = 716,716.79/872.22
  6. Step 6: Final answer
    x = 821.72

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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.