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Finding the Fourth Proportional to 701.82, 1,053.23 and 268.97

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Solution

The fourth proportional to 701.82, 1,053.23 and 268.97 is: 403.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.82 : 1,053.23 = 268.97 : x
  2. Step 2: Convert to fraction form
    701.82/1,053.23 = 268.97/x
  3. Step 3: Cross multiply
    701.82x = 1,053.23 × 268.97
  4. Step 4: Simplify right side
    701.82x = 283,280.66
  5. Step 5: Solve for x
    x = 283,280.66/701.82
  6. Step 6: Final answer
    x = 403.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.