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Finding the Fourth Proportional to 1,550.43, 2,324.31 and 510.15

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Solution

The fourth proportional to 1,550.43, 2,324.31 and 510.15 is: 764.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.43 : 2,324.31 = 510.15 : x
  2. Step 2: Convert to fraction form
    1,550.43/2,324.31 = 510.15/x
  3. Step 3: Cross multiply
    1,550.43x = 2,324.31 × 510.15
  4. Step 4: Simplify right side
    1,550.43x = 1,185,744.20
  5. Step 5: Solve for x
    x = 1,185,744.20/1,550.43
  6. Step 6: Final answer
    x = 764.79

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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.