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Finding the Fourth Proportional to 1,201.28, 1,803.98 and 741.78

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Solution

The fourth proportional to 1,201.28, 1,803.98 and 741.78 is: 1,113.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.28 : 1,803.98 = 741.78 : x
  2. Step 2: Convert to fraction form
    1,201.28/1,803.98 = 741.78/x
  3. Step 3: Cross multiply
    1,201.28x = 1,803.98 × 741.78
  4. Step 4: Simplify right side
    1,201.28x = 1,338,158.14
  5. Step 5: Solve for x
    x = 1,338,158.14/1,201.28
  6. Step 6: Final answer
    x = 1,113.94

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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.