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Finding the Fourth Proportional to 734.38, 1,101.86 and 387.70

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Solution

The fourth proportional to 734.38, 1,101.86 and 387.70 is: 581.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.38 : 1,101.86 = 387.70 : x
  2. Step 2: Convert to fraction form
    734.38/1,101.86 = 387.70/x
  3. Step 3: Cross multiply
    734.38x = 1,101.86 × 387.70
  4. Step 4: Simplify right side
    734.38x = 427,191.12
  5. Step 5: Solve for x
    x = 427,191.12/734.38
  6. Step 6: Final answer
    x = 581.70

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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.