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Finding the Fourth Proportional to 1,133.82, 1,696.77 and 694.98

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Solution

The fourth proportional to 1,133.82, 1,696.77 and 694.98 is: 1,040.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.82 : 1,696.77 = 694.98 : x
  2. Step 2: Convert to fraction form
    1,133.82/1,696.77 = 694.98/x
  3. Step 3: Cross multiply
    1,133.82x = 1,696.77 × 694.98
  4. Step 4: Simplify right side
    1,133.82x = 1,179,221.21
  5. Step 5: Solve for x
    x = 1,179,221.21/1,133.82
  6. Step 6: Final answer
    x = 1,040.04

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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.