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Finding the Fourth Proportional to 1,011.39, 1,396.25 and 681.56

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Solution

The fourth proportional to 1,011.39, 1,396.25 and 681.56 is: 940.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.39 : 1,396.25 = 681.56 : x
  2. Step 2: Convert to fraction form
    1,011.39/1,396.25 = 681.56/x
  3. Step 3: Cross multiply
    1,011.39x = 1,396.25 × 681.56
  4. Step 4: Simplify right side
    1,011.39x = 951,617.76
  5. Step 5: Solve for x
    x = 951,617.76/1,011.39
  6. Step 6: Final answer
    x = 940.90

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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.