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Finding the Fourth Proportional to 913.68, 1,371.33 and 792.18

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Solution

The fourth proportional to 913.68, 1,371.33 and 792.18 is: 1,188.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.68 : 1,371.33 = 792.18 : x
  2. Step 2: Convert to fraction form
    913.68/1,371.33 = 792.18/x
  3. Step 3: Cross multiply
    913.68x = 1,371.33 × 792.18
  4. Step 4: Simplify right side
    913.68x = 1,086,340.20
  5. Step 5: Solve for x
    x = 1,086,340.20/913.68
  6. Step 6: Final answer
    x = 1,188.97

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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.