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Finding the Fourth Proportional to 1,091.69, 1,640.13 and 702.44

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Solution

The fourth proportional to 1,091.69, 1,640.13 and 702.44 is: 1,055.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.69 : 1,640.13 = 702.44 : x
  2. Step 2: Convert to fraction form
    1,091.69/1,640.13 = 702.44/x
  3. Step 3: Cross multiply
    1,091.69x = 1,640.13 × 702.44
  4. Step 4: Simplify right side
    1,091.69x = 1,152,092.92
  5. Step 5: Solve for x
    x = 1,152,092.92/1,091.69
  6. Step 6: Final answer
    x = 1,055.33

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