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Finding the Fourth Proportional to 1,600.69, 2,401.11 and 627.02

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Solution

The fourth proportional to 1,600.69, 2,401.11 and 627.02 is: 940.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.69 : 2,401.11 = 627.02 : x
  2. Step 2: Convert to fraction form
    1,600.69/2,401.11 = 627.02/x
  3. Step 3: Cross multiply
    1,600.69x = 2,401.11 × 627.02
  4. Step 4: Simplify right side
    1,600.69x = 1,505,543.99
  5. Step 5: Solve for x
    x = 1,505,543.99/1,600.69
  6. Step 6: Final answer
    x = 940.56

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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.