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Finding the Fourth Proportional to 680.60, 1,023.60 and 610.40

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Solution

The fourth proportional to 680.60, 1,023.60 and 610.40 is: 918.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.60 : 1,023.60 = 610.40 : x
  2. Step 2: Convert to fraction form
    680.60/1,023.60 = 610.40/x
  3. Step 3: Cross multiply
    680.60x = 1,023.60 × 610.40
  4. Step 4: Simplify right side
    680.60x = 624,805.44
  5. Step 5: Solve for x
    x = 624,805.44/680.60
  6. Step 6: Final answer
    x = 918.02

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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.