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Finding the Fourth Proportional to 1,092.13, 1,506.46 and 649.73

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Solution

The fourth proportional to 1,092.13, 1,506.46 and 649.73 is: 896.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.13 : 1,506.46 = 649.73 : x
  2. Step 2: Convert to fraction form
    1,092.13/1,506.46 = 649.73/x
  3. Step 3: Cross multiply
    1,092.13x = 1,506.46 × 649.73
  4. Step 4: Simplify right side
    1,092.13x = 978,792.26
  5. Step 5: Solve for x
    x = 978,792.26/1,092.13
  6. Step 6: Final answer
    x = 896.22

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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.