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Finding the Fourth Proportional to 681.76, 1,022.37 and 357.40

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Solution

The fourth proportional to 681.76, 1,022.37 and 357.40 is: 535.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.76 : 1,022.37 = 357.40 : x
  2. Step 2: Convert to fraction form
    681.76/1,022.37 = 357.40/x
  3. Step 3: Cross multiply
    681.76x = 1,022.37 × 357.40
  4. Step 4: Simplify right side
    681.76x = 365,395.04
  5. Step 5: Solve for x
    x = 365,395.04/681.76
  6. Step 6: Final answer
    x = 535.96

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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.