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Finding the Fourth Proportional to 846.99, 1,272.29 and 819.32

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Solution

The fourth proportional to 846.99, 1,272.29 and 819.32 is: 1,230.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.99 : 1,272.29 = 819.32 : x
  2. Step 2: Convert to fraction form
    846.99/1,272.29 = 819.32/x
  3. Step 3: Cross multiply
    846.99x = 1,272.29 × 819.32
  4. Step 4: Simplify right side
    846.99x = 1,042,402.18
  5. Step 5: Solve for x
    x = 1,042,402.18/846.99
  6. Step 6: Final answer
    x = 1,230.71

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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.