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Finding the Fourth Proportional to 913.92, 1,371.06 and 451.68

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Solution

The fourth proportional to 913.92, 1,371.06 and 451.68 is: 677.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.92 : 1,371.06 = 451.68 : x
  2. Step 2: Convert to fraction form
    913.92/1,371.06 = 451.68/x
  3. Step 3: Cross multiply
    913.92x = 1,371.06 × 451.68
  4. Step 4: Simplify right side
    913.92x = 619,280.38
  5. Step 5: Solve for x
    x = 619,280.38/913.92
  6. Step 6: Final answer
    x = 677.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.