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Finding the Fourth Proportional to 911.86, 1,258.29 and 513.52

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Solution

The fourth proportional to 911.86, 1,258.29 and 513.52 is: 708.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.86 : 1,258.29 = 513.52 : x
  2. Step 2: Convert to fraction form
    911.86/1,258.29 = 513.52/x
  3. Step 3: Cross multiply
    911.86x = 1,258.29 × 513.52
  4. Step 4: Simplify right side
    911.86x = 646,157.08
  5. Step 5: Solve for x
    x = 646,157.08/911.86
  6. Step 6: Final answer
    x = 708.61

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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.