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Finding the Fourth Proportional to 1,133.49, 1,698.17 and 669.97

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Solution

The fourth proportional to 1,133.49, 1,698.17 and 669.97 is: 1,003.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.49 : 1,698.17 = 669.97 : x
  2. Step 2: Convert to fraction form
    1,133.49/1,698.17 = 669.97/x
  3. Step 3: Cross multiply
    1,133.49x = 1,698.17 × 669.97
  4. Step 4: Simplify right side
    1,133.49x = 1,137,721.73
  5. Step 5: Solve for x
    x = 1,137,721.73/1,133.49
  6. Step 6: Final answer
    x = 1,003.73

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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.