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Finding the Fourth Proportional to 1,012.66, 1,396.98 and 681.57

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Solution

The fourth proportional to 1,012.66, 1,396.98 and 681.57 is: 940.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.66 : 1,396.98 = 681.57 : x
  2. Step 2: Convert to fraction form
    1,012.66/1,396.98 = 681.57/x
  3. Step 3: Cross multiply
    1,012.66x = 1,396.98 × 681.57
  4. Step 4: Simplify right side
    1,012.66x = 952,139.66
  5. Step 5: Solve for x
    x = 952,139.66/1,012.66
  6. Step 6: Final answer
    x = 940.24

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Why These Related Problems?

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