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Finding the Fourth Proportional to 1,350.11, 2,024.99 and 363.00

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Solution

The fourth proportional to 1,350.11, 2,024.99 and 363.00 is: 544.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.11 : 2,024.99 = 363.00 : x
  2. Step 2: Convert to fraction form
    1,350.11/2,024.99 = 363.00/x
  3. Step 3: Cross multiply
    1,350.11x = 2,024.99 × 363.00
  4. Step 4: Simplify right side
    1,350.11x = 735,059.43
  5. Step 5: Solve for x
    x = 735,059.43/1,350.11
  6. Step 6: Final answer
    x = 544.45

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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.