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Finding the Fourth Proportional to 829.56, 1,144.04 and 681.32

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Solution

The fourth proportional to 829.56, 1,144.04 and 681.32 is: 939.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.56 : 1,144.04 = 681.32 : x
  2. Step 2: Convert to fraction form
    829.56/1,144.04 = 681.32/x
  3. Step 3: Cross multiply
    829.56x = 1,144.04 × 681.32
  4. Step 4: Simplify right side
    829.56x = 779,457.33
  5. Step 5: Solve for x
    x = 779,457.33/829.56
  6. Step 6: Final answer
    x = 939.60

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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.