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Finding the Fourth Proportional to 685.72, 1,027.89 and 442.41

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Solution

The fourth proportional to 685.72, 1,027.89 and 442.41 is: 663.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.72 : 1,027.89 = 442.41 : x
  2. Step 2: Convert to fraction form
    685.72/1,027.89 = 442.41/x
  3. Step 3: Cross multiply
    685.72x = 1,027.89 × 442.41
  4. Step 4: Simplify right side
    685.72x = 454,750.74
  5. Step 5: Solve for x
    x = 454,750.74/685.72
  6. Step 6: Final answer
    x = 663.18

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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.