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Finding the Fourth Proportional to 685.72, 1,028.51 and 172.72

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Solution

The fourth proportional to 685.72, 1,028.51 and 172.72 is: 259.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.72 : 1,028.51 = 172.72 : x
  2. Step 2: Convert to fraction form
    685.72/1,028.51 = 172.72/x
  3. Step 3: Cross multiply
    685.72x = 1,028.51 × 172.72
  4. Step 4: Simplify right side
    685.72x = 177,644.25
  5. Step 5: Solve for x
    x = 177,644.25/685.72
  6. Step 6: Final answer
    x = 259.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.