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Finding the Fourth Proportional to 911.00, 1,257.23 and 512.69

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Solution

The fourth proportional to 911.00, 1,257.23 and 512.69 is: 707.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.00 : 1,257.23 = 512.69 : x
  2. Step 2: Convert to fraction form
    911.00/1,257.23 = 512.69/x
  3. Step 3: Cross multiply
    911.00x = 1,257.23 × 512.69
  4. Step 4: Simplify right side
    911.00x = 644,560.40
  5. Step 5: Solve for x
    x = 644,560.40/911.00
  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.