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Finding the Fourth Proportional to 1,398.71, 2,099.61 and 814.38

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Solution

The fourth proportional to 1,398.71, 2,099.61 and 814.38 is: 1,222.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.71 : 2,099.61 = 814.38 : x
  2. Step 2: Convert to fraction form
    1,398.71/2,099.61 = 814.38/x
  3. Step 3: Cross multiply
    1,398.71x = 2,099.61 × 814.38
  4. Step 4: Simplify right side
    1,398.71x = 1,709,880.39
  5. Step 5: Solve for x
    x = 1,709,880.39/1,398.71
  6. Step 6: Final answer
    x = 1,222.47

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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.