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Finding the Fourth Proportional to 1,030.29, 1,422.38 and 681.59

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Solution

The fourth proportional to 1,030.29, 1,422.38 and 681.59 is: 940.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.29 : 1,422.38 = 681.59 : x
  2. Step 2: Convert to fraction form
    1,030.29/1,422.38 = 681.59/x
  3. Step 3: Cross multiply
    1,030.29x = 1,422.38 × 681.59
  4. Step 4: Simplify right side
    1,030.29x = 969,469.46
  5. Step 5: Solve for x
    x = 969,469.46/1,030.29
  6. Step 6: Final answer
    x = 940.97

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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.