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Finding the Fourth Proportional to 682.80, 1,018.56 and 601.80

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Solution

The fourth proportional to 682.80, 1,018.56 and 601.80 is: 897.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.80 : 1,018.56 = 601.80 : x
  2. Step 2: Convert to fraction form
    682.80/1,018.56 = 601.80/x
  3. Step 3: Cross multiply
    682.80x = 1,018.56 × 601.80
  4. Step 4: Simplify right side
    682.80x = 612,969.41
  5. Step 5: Solve for x
    x = 612,969.41/682.80
  6. Step 6: Final answer
    x = 897.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.