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Finding the Fourth Proportional to 912.08, 1,258.63 and 513.83

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Solution

The fourth proportional to 912.08, 1,258.63 and 513.83 is: 709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.08 : 1,258.63 = 513.83 : x
  2. Step 2: Convert to fraction form
    912.08/1,258.63 = 513.83/x
  3. Step 3: Cross multiply
    912.08x = 1,258.63 × 513.83
  4. Step 4: Simplify right side
    912.08x = 646,721.85
  5. Step 5: Solve for x
    x = 646,721.85/912.08
  6. Step 6: Final answer
    x = 709.06

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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.