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Finding the Fourth Proportional to 986.13, 1,360.46 and 566.26

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Solution

The fourth proportional to 986.13, 1,360.46 and 566.26 is: 781.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.13 : 1,360.46 = 566.26 : x
  2. Step 2: Convert to fraction form
    986.13/1,360.46 = 566.26/x
  3. Step 3: Cross multiply
    986.13x = 1,360.46 × 566.26
  4. Step 4: Simplify right side
    986.13x = 770,372.09
  5. Step 5: Solve for x
    x = 770,372.09/986.13
  6. Step 6: Final answer
    x = 781.21

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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.