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Finding the Fourth Proportional to 685.83, 1,028.87 and 247.09

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Solution

The fourth proportional to 685.83, 1,028.87 and 247.09 is: 370.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.83 : 1,028.87 = 247.09 : x
  2. Step 2: Convert to fraction form
    685.83/1,028.87 = 247.09/x
  3. Step 3: Cross multiply
    685.83x = 1,028.87 × 247.09
  4. Step 4: Simplify right side
    685.83x = 254,223.49
  5. Step 5: Solve for x
    x = 254,223.49/685.83
  6. Step 6: Final answer
    x = 370.68

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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.