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Finding the Fourth Proportional to 1,040.27, 1,559.97 and 423.81

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Solution

The fourth proportional to 1,040.27, 1,559.97 and 423.81 is: 635.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.27 : 1,559.97 = 423.81 : x
  2. Step 2: Convert to fraction form
    1,040.27/1,559.97 = 423.81/x
  3. Step 3: Cross multiply
    1,040.27x = 1,559.97 × 423.81
  4. Step 4: Simplify right side
    1,040.27x = 661,130.89
  5. Step 5: Solve for x
    x = 661,130.89/1,040.27
  6. Step 6: Final answer
    x = 635.54

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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.