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Finding the Fourth Proportional to 677.76, 1,016.70 and 331.26

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Solution

The fourth proportional to 677.76, 1,016.70 and 331.26 is: 496.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.76 : 1,016.70 = 331.26 : x
  2. Step 2: Convert to fraction form
    677.76/1,016.70 = 331.26/x
  3. Step 3: Cross multiply
    677.76x = 1,016.70 × 331.26
  4. Step 4: Simplify right side
    677.76x = 336,792.04
  5. Step 5: Solve for x
    x = 336,792.04/677.76
  6. Step 6: Final answer
    x = 496.92

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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.