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Finding the Fourth Proportional to 741.26, 1,111.89 and 418.61

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Solution

The fourth proportional to 741.26, 1,111.89 and 418.61 is: 627.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.26 : 1,111.89 = 418.61 : x
  2. Step 2: Convert to fraction form
    741.26/1,111.89 = 418.61/x
  3. Step 3: Cross multiply
    741.26x = 1,111.89 × 418.61
  4. Step 4: Simplify right side
    741.26x = 465,448.27
  5. Step 5: Solve for x
    x = 465,448.27/741.26
  6. Step 6: Final answer
    x = 627.92

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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.