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Finding the Fourth Proportional to 736.21, 1,098.81 and 724.06

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Solution

The fourth proportional to 736.21, 1,098.81 and 724.06 is: 1,080.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.21 : 1,098.81 = 724.06 : x
  2. Step 2: Convert to fraction form
    736.21/1,098.81 = 724.06/x
  3. Step 3: Cross multiply
    736.21x = 1,098.81 × 724.06
  4. Step 4: Simplify right side
    736.21x = 795,600.75
  5. Step 5: Solve for x
    x = 795,600.75/736.21
  6. Step 6: Final answer
    x = 1,080.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.