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Finding the Fourth Proportional to 1,549.11, 2,324.07 and 509.27

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Solution

The fourth proportional to 1,549.11, 2,324.07 and 509.27 is: 764.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.11 : 2,324.07 = 509.27 : x
  2. Step 2: Convert to fraction form
    1,549.11/2,324.07 = 509.27/x
  3. Step 3: Cross multiply
    1,549.11x = 2,324.07 × 509.27
  4. Step 4: Simplify right side
    1,549.11x = 1,183,567.51
  5. Step 5: Solve for x
    x = 1,183,567.51/1,549.11
  6. Step 6: Final answer
    x = 764.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.