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Finding the Fourth Proportional to 911.13, 1,257.31 and 512.73

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Solution

The fourth proportional to 911.13, 1,257.31 and 512.73 is: 707.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.13 : 1,257.31 = 512.73 : x
  2. Step 2: Convert to fraction form
    911.13/1,257.31 = 512.73/x
  3. Step 3: Cross multiply
    911.13x = 1,257.31 × 512.73
  4. Step 4: Simplify right side
    911.13x = 644,651.71
  5. Step 5: Solve for x
    x = 644,651.71/911.13
  6. Step 6: Final answer
    x = 707.53

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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.