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Finding the Fourth Proportional to 1,227.89, 1,694.49 and 785.63

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Solution

The fourth proportional to 1,227.89, 1,694.49 and 785.63 is: 1,084.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.89 : 1,694.49 = 785.63 : x
  2. Step 2: Convert to fraction form
    1,227.89/1,694.49 = 785.63/x
  3. Step 3: Cross multiply
    1,227.89x = 1,694.49 × 785.63
  4. Step 4: Simplify right side
    1,227.89x = 1,331,242.18
  5. Step 5: Solve for x
    x = 1,331,242.18/1,227.89
  6. Step 6: Final answer
    x = 1,084.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.