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Finding the Fourth Proportional to 1,324.09, 1,986.20 and 502.48

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Solution

The fourth proportional to 1,324.09, 1,986.20 and 502.48 is: 753.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.09 : 1,986.20 = 502.48 : x
  2. Step 2: Convert to fraction form
    1,324.09/1,986.20 = 502.48/x
  3. Step 3: Cross multiply
    1,324.09x = 1,986.20 × 502.48
  4. Step 4: Simplify right side
    1,324.09x = 998,025.78
  5. Step 5: Solve for x
    x = 998,025.78/1,324.09
  6. Step 6: Final answer
    x = 753.74

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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.