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Finding the Fourth Proportional to 911.33, 1,257.60 and 538.32

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Solution

The fourth proportional to 911.33, 1,257.60 and 538.32 is: 742.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.33 : 1,257.60 = 538.32 : x
  2. Step 2: Convert to fraction form
    911.33/1,257.60 = 538.32/x
  3. Step 3: Cross multiply
    911.33x = 1,257.60 × 538.32
  4. Step 4: Simplify right side
    911.33x = 676,991.23
  5. Step 5: Solve for x
    x = 676,991.23/911.33
  6. Step 6: Final answer
    x = 742.86

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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.