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Finding the Fourth Proportional to 911.96, 1,257.72 and 557.84

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Solution

The fourth proportional to 911.96, 1,257.72 and 557.84 is: 769.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.96 : 1,257.72 = 557.84 : x
  2. Step 2: Convert to fraction form
    911.96/1,257.72 = 557.84/x
  3. Step 3: Cross multiply
    911.96x = 1,257.72 × 557.84
  4. Step 4: Simplify right side
    911.96x = 701,606.52
  5. Step 5: Solve for x
    x = 701,606.52/911.96
  6. Step 6: Final answer
    x = 769.34

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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.