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Finding the Fourth Proportional to 911.24, 1,257.36 and 518.12

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Solution

The fourth proportional to 911.24, 1,257.36 and 518.12 is: 714.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.24 : 1,257.36 = 518.12 : x
  2. Step 2: Convert to fraction form
    911.24/1,257.36 = 518.12/x
  3. Step 3: Cross multiply
    911.24x = 1,257.36 × 518.12
  4. Step 4: Simplify right side
    911.24x = 651,463.36
  5. Step 5: Solve for x
    x = 651,463.36/911.24
  6. Step 6: Final answer
    x = 714.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.