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Finding the Fourth Proportional to 685.24, 1,027.62 and 398.44

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Solution

The fourth proportional to 685.24, 1,027.62 and 398.44 is: 597.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.24 : 1,027.62 = 398.44 : x
  2. Step 2: Convert to fraction form
    685.24/1,027.62 = 398.44/x
  3. Step 3: Cross multiply
    685.24x = 1,027.62 × 398.44
  4. Step 4: Simplify right side
    685.24x = 409,444.91
  5. Step 5: Solve for x
    x = 409,444.91/685.24
  6. Step 6: Final answer
    x = 597.52

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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.