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Finding the Fourth Proportional to 1,096.61, 1,639.91 and 819.15

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Solution

The fourth proportional to 1,096.61, 1,639.91 and 819.15 is: 1,224.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.61 : 1,639.91 = 819.15 : x
  2. Step 2: Convert to fraction form
    1,096.61/1,639.91 = 819.15/x
  3. Step 3: Cross multiply
    1,096.61x = 1,639.91 × 819.15
  4. Step 4: Simplify right side
    1,096.61x = 1,343,332.28
  5. Step 5: Solve for x
    x = 1,343,332.28/1,096.61
  6. Step 6: Final answer
    x = 1,224.99

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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.