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Finding the Fourth Proportional to 911.94, 1,258.38 and 538.94

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Solution

The fourth proportional to 911.94, 1,258.38 and 538.94 is: 743.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.94 : 1,258.38 = 538.94 : x
  2. Step 2: Convert to fraction form
    911.94/1,258.38 = 538.94/x
  3. Step 3: Cross multiply
    911.94x = 1,258.38 × 538.94
  4. Step 4: Simplify right side
    911.94x = 678,185.03
  5. Step 5: Solve for x
    x = 678,185.03/911.94
  6. Step 6: Final answer
    x = 743.67

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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.