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Finding the Fourth Proportional to 911.26, 1,256.21 and 724.83

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Solution

The fourth proportional to 911.26, 1,256.21 and 724.83 is: 999.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.26 : 1,256.21 = 724.83 : x
  2. Step 2: Convert to fraction form
    911.26/1,256.21 = 724.83/x
  3. Step 3: Cross multiply
    911.26x = 1,256.21 × 724.83
  4. Step 4: Simplify right side
    911.26x = 910,538.69
  5. Step 5: Solve for x
    x = 910,538.69/911.26
  6. Step 6: Final answer
    x = 999.21

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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.