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Finding the Fourth Proportional to 911.02, 1,257.29 and 512.74

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Solution

The fourth proportional to 911.02, 1,257.29 and 512.74 is: 707.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.02 : 1,257.29 = 512.74 : x
  2. Step 2: Convert to fraction form
    911.02/1,257.29 = 512.74/x
  3. Step 3: Cross multiply
    911.02x = 1,257.29 × 512.74
  4. Step 4: Simplify right side
    911.02x = 644,662.87
  5. Step 5: Solve for x
    x = 644,662.87/911.02
  6. Step 6: Final answer
    x = 707.63

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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.