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Finding the Fourth Proportional to 701.05, 966.18 and 681.07

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Solution

The fourth proportional to 701.05, 966.18 and 681.07 is: 938.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.05 : 966.18 = 681.07 : x
  2. Step 2: Convert to fraction form
    701.05/966.18 = 681.07/x
  3. Step 3: Cross multiply
    701.05x = 966.18 × 681.07
  4. Step 4: Simplify right side
    701.05x = 658,036.21
  5. Step 5: Solve for x
    x = 658,036.21/701.05
  6. Step 6: Final answer
    x = 938.64

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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.