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Finding the Fourth Proportional to 1,496.75, 2,244.78 and 401.11

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Solution

The fourth proportional to 1,496.75, 2,244.78 and 401.11 is: 601.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.75 : 2,244.78 = 401.11 : x
  2. Step 2: Convert to fraction form
    1,496.75/2,244.78 = 401.11/x
  3. Step 3: Cross multiply
    1,496.75x = 2,244.78 × 401.11
  4. Step 4: Simplify right side
    1,496.75x = 900,398.09
  5. Step 5: Solve for x
    x = 900,398.09/1,496.75
  6. Step 6: Final answer
    x = 601.57

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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.