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Finding the Fourth Proportional to 913.86, 1,371.60 and 730.80

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Solution

The fourth proportional to 913.86, 1,371.60 and 730.80 is: 1,096.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.86 : 1,371.60 = 730.80 : x
  2. Step 2: Convert to fraction form
    913.86/1,371.60 = 730.80/x
  3. Step 3: Cross multiply
    913.86x = 1,371.60 × 730.80
  4. Step 4: Simplify right side
    913.86x = 1,002,365.28
  5. Step 5: Solve for x
    x = 1,002,365.28/913.86
  6. Step 6: Final answer
    x = 1,096.85

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