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Finding the Fourth Proportional to 913.73, 1,371.12 and 386.60

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Solution

The fourth proportional to 913.73, 1,371.12 and 386.60 is: 580.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.73 : 1,371.12 = 386.60 : x
  2. Step 2: Convert to fraction form
    913.73/1,371.12 = 386.60/x
  3. Step 3: Cross multiply
    913.73x = 1,371.12 × 386.60
  4. Step 4: Simplify right side
    913.73x = 530,074.99
  5. Step 5: Solve for x
    x = 530,074.99/913.73
  6. Step 6: Final answer
    x = 580.12

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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.