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Finding the Fourth Proportional to 1,091.20, 1,635.32 and 506

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Solution

The fourth proportional to 1,091.20, 1,635.32 and 506 is: 758.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.20 : 1,635.32 = 506 : x
  2. Step 2: Convert to fraction form
    1,091.20/1,635.32 = 506/x
  3. Step 3: Cross multiply
    1,091.20x = 1,635.32 × 506
  4. Step 4: Simplify right side
    1,091.20x = 827,471.92
  5. Step 5: Solve for x
    x = 827,471.92/1,091.20
  6. Step 6: Final answer
    x = 758.31

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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.