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Finding the Fourth Proportional to 1,350.76, 2,026.14 and 324.76

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Solution

The fourth proportional to 1,350.76, 2,026.14 and 324.76 is: 487.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.76 : 2,026.14 = 324.76 : x
  2. Step 2: Convert to fraction form
    1,350.76/2,026.14 = 324.76/x
  3. Step 3: Cross multiply
    1,350.76x = 2,026.14 × 324.76
  4. Step 4: Simplify right side
    1,350.76x = 658,012.98
  5. Step 5: Solve for x
    x = 658,012.98/1,350.76
  6. Step 6: Final answer
    x = 487.14

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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.