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Finding the Fourth Proportional to 911.54, 1,257.84 and 518.55

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Solution

The fourth proportional to 911.54, 1,257.84 and 518.55 is: 715.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.54 : 1,257.84 = 518.55 : x
  2. Step 2: Convert to fraction form
    911.54/1,257.84 = 518.55/x
  3. Step 3: Cross multiply
    911.54x = 1,257.84 × 518.55
  4. Step 4: Simplify right side
    911.54x = 652,252.93
  5. Step 5: Solve for x
    x = 652,252.93/911.54
  6. Step 6: Final answer
    x = 715.55

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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.