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Finding the Fourth Proportional to 1,227.84, 1,838.14 and 810.60

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Solution

The fourth proportional to 1,227.84, 1,838.14 and 810.60 is: 1,213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.84 : 1,838.14 = 810.60 : x
  2. Step 2: Convert to fraction form
    1,227.84/1,838.14 = 810.60/x
  3. Step 3: Cross multiply
    1,227.84x = 1,838.14 × 810.60
  4. Step 4: Simplify right side
    1,227.84x = 1,489,996.28
  5. Step 5: Solve for x
    x = 1,489,996.28/1,227.84
  6. Step 6: Final answer
    x = 1,213.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.