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Finding the Fourth Proportional to 1,092.35, 1,640.12 and 723.26

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Solution

The fourth proportional to 1,092.35, 1,640.12 and 723.26 is: 1,085.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.35 : 1,640.12 = 723.26 : x
  2. Step 2: Convert to fraction form
    1,092.35/1,640.12 = 723.26/x
  3. Step 3: Cross multiply
    1,092.35x = 1,640.12 × 723.26
  4. Step 4: Simplify right side
    1,092.35x = 1,186,233.68
  5. Step 5: Solve for x
    x = 1,186,233.68/1,092.35
  6. Step 6: Final answer
    x = 1,085.94

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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.