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Finding the Fourth Proportional to 1,362.53, 2,044.13 and 485.16

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Solution

The fourth proportional to 1,362.53, 2,044.13 and 485.16 is: 727.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.53 : 2,044.13 = 485.16 : x
  2. Step 2: Convert to fraction form
    1,362.53/2,044.13 = 485.16/x
  3. Step 3: Cross multiply
    1,362.53x = 2,044.13 × 485.16
  4. Step 4: Simplify right side
    1,362.53x = 991,727.69
  5. Step 5: Solve for x
    x = 991,727.69/1,362.53
  6. Step 6: Final answer
    x = 727.86

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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.