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Finding the Fourth Proportional to 1,227.77, 1,694.31 and 675.77

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Solution

The fourth proportional to 1,227.77, 1,694.31 and 675.77 is: 932.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.77 : 1,694.31 = 675.77 : x
  2. Step 2: Convert to fraction form
    1,227.77/1,694.31 = 675.77/x
  3. Step 3: Cross multiply
    1,227.77x = 1,694.31 × 675.77
  4. Step 4: Simplify right side
    1,227.77x = 1,144,960.49
  5. Step 5: Solve for x
    x = 1,144,960.49/1,227.77
  6. Step 6: Final answer
    x = 932.55

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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.