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Finding the Fourth Proportional to 901.18, 1,352.58 and 490.96

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Solution

The fourth proportional to 901.18, 1,352.58 and 490.96 is: 736.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.18 : 1,352.58 = 490.96 : x
  2. Step 2: Convert to fraction form
    901.18/1,352.58 = 490.96/x
  3. Step 3: Cross multiply
    901.18x = 1,352.58 × 490.96
  4. Step 4: Simplify right side
    901.18x = 664,062.68
  5. Step 5: Solve for x
    x = 664,062.68/901.18
  6. Step 6: Final answer
    x = 736.88

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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.