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Finding the Fourth Proportional to 999.53, 1,496.73 and 739.14

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Solution

The fourth proportional to 999.53, 1,496.73 and 739.14 is: 1,106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.53 : 1,496.73 = 739.14 : x
  2. Step 2: Convert to fraction form
    999.53/1,496.73 = 739.14/x
  3. Step 3: Cross multiply
    999.53x = 1,496.73 × 739.14
  4. Step 4: Simplify right side
    999.53x = 1,106,288.12
  5. Step 5: Solve for x
    x = 1,106,288.12/999.53
  6. Step 6: Final answer
    x = 1,106.81

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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.