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Finding the Fourth Proportional to 911.85, 1,258.56 and 580.21

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Solution

The fourth proportional to 911.85, 1,258.56 and 580.21 is: 800.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.85 : 1,258.56 = 580.21 : x
  2. Step 2: Convert to fraction form
    911.85/1,258.56 = 580.21/x
  3. Step 3: Cross multiply
    911.85x = 1,258.56 × 580.21
  4. Step 4: Simplify right side
    911.85x = 730,229.10
  5. Step 5: Solve for x
    x = 730,229.10/911.85
  6. Step 6: Final answer
    x = 800.82

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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.