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Finding the Fourth Proportional to 1,012.62, 1,397.25 and 681.60

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Solution

The fourth proportional to 1,012.62, 1,397.25 and 681.60 is: 940.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.62 : 1,397.25 = 681.60 : x
  2. Step 2: Convert to fraction form
    1,012.62/1,397.25 = 681.60/x
  3. Step 3: Cross multiply
    1,012.62x = 1,397.25 × 681.60
  4. Step 4: Simplify right side
    1,012.62x = 952,365.60
  5. Step 5: Solve for x
    x = 952,365.60/1,012.62
  6. Step 6: Final answer
    x = 940.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.