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Finding the Fourth Proportional to 911.52, 1,256.85 and 743.22

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Solution

The fourth proportional to 911.52, 1,256.85 and 743.22 is: 1,024.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.52 : 1,256.85 = 743.22 : x
  2. Step 2: Convert to fraction form
    911.52/1,256.85 = 743.22/x
  3. Step 3: Cross multiply
    911.52x = 1,256.85 × 743.22
  4. Step 4: Simplify right side
    911.52x = 934,116.06
  5. Step 5: Solve for x
    x = 934,116.06/911.52
  6. Step 6: Final answer
    x = 1,024.79

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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.