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Finding the Fourth Proportional to 872.09, 1,308.26 and 549.71

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Solution

The fourth proportional to 872.09, 1,308.26 and 549.71 is: 824.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.09 : 1,308.26 = 549.71 : x
  2. Step 2: Convert to fraction form
    872.09/1,308.26 = 549.71/x
  3. Step 3: Cross multiply
    872.09x = 1,308.26 × 549.71
  4. Step 4: Simplify right side
    872.09x = 719,158.44
  5. Step 5: Solve for x
    x = 719,158.44/872.09
  6. Step 6: Final answer
    x = 824.64

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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.