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Finding the Fourth Proportional to 685.20, 1,026.18 and 490.44

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Solution

The fourth proportional to 685.20, 1,026.18 and 490.44 is: 734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.20 : 1,026.18 = 490.44 : x
  2. Step 2: Convert to fraction form
    685.20/1,026.18 = 490.44/x
  3. Step 3: Cross multiply
    685.20x = 1,026.18 × 490.44
  4. Step 4: Simplify right side
    685.20x = 503,279.72
  5. Step 5: Solve for x
    x = 503,279.72/685.20
  6. Step 6: Final answer
    x = 734.50

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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.