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Finding the Fourth Proportional to 685.81, 1,028.72 and 172.81

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Solution

The fourth proportional to 685.81, 1,028.72 and 172.81 is: 259.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.81 : 1,028.72 = 172.81 : x
  2. Step 2: Convert to fraction form
    685.81/1,028.72 = 172.81/x
  3. Step 3: Cross multiply
    685.81x = 1,028.72 × 172.81
  4. Step 4: Simplify right side
    685.81x = 177,775.46
  5. Step 5: Solve for x
    x = 177,775.46/685.81
  6. Step 6: Final answer
    x = 259.22

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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.