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Finding the Fourth Proportional to 1,196.94, 1,802.42 and 1,044.69

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Solution

The fourth proportional to 1,196.94, 1,802.42 and 1,044.69 is: 1,573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.94 : 1,802.42 = 1,044.69 : x
  2. Step 2: Convert to fraction form
    1,196.94/1,802.42 = 1,044.69/x
  3. Step 3: Cross multiply
    1,196.94x = 1,802.42 × 1,044.69
  4. Step 4: Simplify right side
    1,196.94x = 1,882,964.93
  5. Step 5: Solve for x
    x = 1,882,964.93/1,196.94
  6. Step 6: Final answer
    x = 1,573.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.