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Finding the Fourth Proportional to 911.58, 1,257.93 and 538.48

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Solution

The fourth proportional to 911.58, 1,257.93 and 538.48 is: 743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.58 : 1,257.93 = 538.48 : x
  2. Step 2: Convert to fraction form
    911.58/1,257.93 = 538.48/x
  3. Step 3: Cross multiply
    911.58x = 1,257.93 × 538.48
  4. Step 4: Simplify right side
    911.58x = 677,361.16
  5. Step 5: Solve for x
    x = 677,361.16/911.58
  6. Step 6: Final answer
    x = 743.06

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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.