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Finding the Fourth Proportional to 912.24, 1,258.94 and 513.95

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Solution

The fourth proportional to 912.24, 1,258.94 and 513.95 is: 709.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.24 : 1,258.94 = 513.95 : x
  2. Step 2: Convert to fraction form
    912.24/1,258.94 = 513.95/x
  3. Step 3: Cross multiply
    912.24x = 1,258.94 × 513.95
  4. Step 4: Simplify right side
    912.24x = 647,027.20
  5. Step 5: Solve for x
    x = 647,027.20/912.24
  6. Step 6: Final answer
    x = 709.28

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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.