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Finding the Fourth Proportional to 911.79, 1,258.17 and 513.41

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Solution

The fourth proportional to 911.79, 1,258.17 and 513.41 is: 708.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.79 : 1,258.17 = 513.41 : x
  2. Step 2: Convert to fraction form
    911.79/1,258.17 = 513.41/x
  3. Step 3: Cross multiply
    911.79x = 1,258.17 × 513.41
  4. Step 4: Simplify right side
    911.79x = 645,948.84
  5. Step 5: Solve for x
    x = 645,948.84/911.79
  6. Step 6: Final answer
    x = 708.44

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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.