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Finding the Fourth Proportional to 677.60, 1,016.20 and 266.60

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Solution

The fourth proportional to 677.60, 1,016.20 and 266.60 is: 399.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.60 : 1,016.20 = 266.60 : x
  2. Step 2: Convert to fraction form
    677.60/1,016.20 = 266.60/x
  3. Step 3: Cross multiply
    677.60x = 1,016.20 × 266.60
  4. Step 4: Simplify right side
    677.60x = 270,918.92
  5. Step 5: Solve for x
    x = 270,918.92/677.60
  6. Step 6: Final answer
    x = 399.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.