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Finding the Fourth Proportional to 733.38, 1,100.34 and 386.70

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Solution

The fourth proportional to 733.38, 1,100.34 and 386.70 is: 580.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.38 : 1,100.34 = 386.70 : x
  2. Step 2: Convert to fraction form
    733.38/1,100.34 = 386.70/x
  3. Step 3: Cross multiply
    733.38x = 1,100.34 × 386.70
  4. Step 4: Simplify right side
    733.38x = 425,501.48
  5. Step 5: Solve for x
    x = 425,501.48/733.38
  6. Step 6: Final answer
    x = 580.19

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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.