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Finding the Fourth Proportional to 864.96, 1,296.12 and 681.60

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Solution

The fourth proportional to 864.96, 1,296.12 and 681.60 is: 1,021.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.96 : 1,296.12 = 681.60 : x
  2. Step 2: Convert to fraction form
    864.96/1,296.12 = 681.60/x
  3. Step 3: Cross multiply
    864.96x = 1,296.12 × 681.60
  4. Step 4: Simplify right side
    864.96x = 883,435.39
  5. Step 5: Solve for x
    x = 883,435.39/864.96
  6. Step 6: Final answer
    x = 1,021.36

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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.